In short
"A less than B" means B - A. Not A - B. The English reads in the opposite order to the algebra — your eye sees the A first, but the A is the thing being subtracted, not the thing subtracted from. So "6 less than 2x" is 2x - 6, never 6 - 2x. This single mismatch between English word order and algebra symbol order is the most common reason CBSE Class 7 and 8 students lose marks on word problems.
You read the question on a Class 8 paper:
6 less than twice a number is 22. Find the number.
You write down 6 - 2x = 22, solve, get x = -8, and move on. Six months later you find out that question was worth 3 marks and you got zero — because the correct equation was 2x - 6 = 22, and the answer was x = 14. Why this stings: the algebra you did was perfect. You isolated x, you handled the negative correctly, you checked your sign. But the first step, the translation, flipped the subtraction. Everything after a wrong translation is wasted ink.
This article is about that one phrase — "less than" — and the cousins that look like it but mean different things. If you can read these four phrases and write the right algebra without thinking, you have closed the single biggest leak in your word-problem marks.
The trap, in one picture
Here is the phrase, with an arrow showing how to read it.
The English starts with 6. Your eye writes 6 first. But in the algebra, 6 is the thing being taken away, so it has to come after a minus sign. The arrow flips. Why English does this: "less than" is a comparison phrase, like "shorter than" or "younger than". When you say "Rohit is 6 years younger than Anil", the subject is Rohit and the reference is Anil — but to compute Rohit's age you do \text{Anil} - 6. English puts the difference first because the difference is what we are talking about; the algebra puts the reference first because that is what you start from.
The four confusable phrases
These four sound almost the same. They mean different things. Memorise the table.
| English phrase | Algebra | What is happening |
|---|---|---|
| 6 less than 2x | 2x - 6 | start at 2x, subtract 6 |
| 6 less 2x | 6 - 2x | start at 6, subtract 2x |
| 6 subtracted from 2x | 2x - 6 | 6 is the thing taken away |
| subtract 6 from 2x | 2x - 6 | imperative — take 6 away from 2x |
Three of these mean 2x - 6. One — the second — means 6 - 2x. The trap is that "less than" and "less" differ by a single word but flip the order. Why "less" alone reads forward: without the word "than", "6 less 2x" is just an instruction — here is 6, now take away 2x. The "than" is what makes it a comparison and reverses the order.
You will never see "6 less 2x" in real CBSE phrasing — it sounds awkward. But you will see "6 less than 2x" and "2x minus 6" treated as the same thing, and you have to know that they are.
Three worked examples
The right translation
6 less than twice a number is 22. Find the number.
Translate. "Twice a number" is 2x. "6 less than 2x" is 2x - 6 — start at 2x, subtract 6. "Is 22" gives = 22.
Solve. Add 6 to both sides: 2x = 28. Divide by 2: x = 14.
Check against the original sentence. Twice 14 is 28. 6 less than 28 is 22. Correct.
The wrong translation — and how to spot it
Same problem, but you write 6 - 2x = 22 by mistake.
Solve as written. 6 - 2x = 22 \implies -2x = 16 \implies x = -8.
Check against the original sentence. Twice -8 is -16. Is 6 less than -16 equal to 22? "6 less than -16" should be -22, not 22. The check fails.
This is the move that saves you marks. Even if your translation is wrong, plugging your answer back into the original English sentence catches it. The algebra was internally consistent — 6 - (-16) = 22 does work — but the English sentence was never asking that. The sentence asked for "6 less than 2x", and -16 is not 6 less than -22.
The reverse direction
Twice a number subtracted from 30 is 14. Find the number.
Translate. "Twice a number" is 2x. "Twice a number subtracted from 30" — 2x is the thing being taken away, 30 is what it is taken from. So 30 - 2x. "Is 14" gives = 14.
Solve. Subtract 30: -2x = -16. Divide by -2: x = 8.
Check. Twice 8 is 16. Subtracted from 30 gives 30 - 16 = 14. Correct.
Notice how this phrase is a sibling of "subtracted from" — same structure, just with the unknown in the role of the subtracted thing.
How to never get the order wrong
Three habits. Drill each one until it is automatic.
Habit 1: substitute simple numbers. When you are unsure, swap the variables for tiny numbers and compute by hand. "5 less than 8" — your gut says 3, and 3 = 8 - 5, so the pattern is (big) - (small). Therefore "A less than B" must be B - A. Why this trick works: your number sense for small everyday numbers is older and more reliable than your algebra grammar. Use it as a checker.
Habit 2: read the phrase aloud and identify which is being subtracted from which. Say the sentence out loud. "6 less than 2x." Now ask: what is being made smaller? The 2x. By how much? By 6. The thing being made smaller is the starting point — it goes first in the algebra. The amount you take away goes after the minus sign.
Habit 3: rewrite the phrase as "2x minus 6" before writing any algebra. This is the single most useful habit. The English "6 less than 2x" reads in a confusing order; the English "2x minus 6" reads in the same order as the algebra. Translate first to "2x minus 6" in your head, then to 2x - 6 on paper. Two short steps with no flip in either one. Why this beats memorising rules: rules fail under exam pressure. A two-step rewrite where each step is obvious does not.
Why this is the #1 word-problem error in Class 7 and 8
The CBSE syllabus introduces algebraic translation in Class 6, formalises it in Class 7, and makes it the centre of the linear-equations chapter in Class 8. NCERT exercises lean on phrases like "5 more than", "7 less than", "twice the sum of", and "subtracted from" — exactly the wording that hides the order trap. Every year, board examiners flag "less than" reversal as the single most common translation mistake on Class 8 papers, more frequent than sign errors, distributive-law slips, or arithmetic blunders.
The reason it persists is that nothing in your earlier training prepared you for it. In arithmetic, you read left to right and compute left to right — "three plus four" is 3 + 4 and that is that. The first time English starts reading right to left for the symbols is in algebra, with comparison phrases. If nobody flags this for you, you keep flipping the order for years.
The good news: once you see the trap, you can never un-see it. The phrase "6 less than 2x" will, from now on, set off a small alarm in your head that says flip the order, write 2x first. That alarm is worth several marks per paper for the rest of your school life.
Once translation is solid, solving the equation is the easy part — the hard work is already done in English.