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Ages & Problems on Numbers · Question 48 of 60

Question 48

MediumOriginal question

When 9 is subtracted from a number and the result is multiplied by 4, the answer is 2 less than three times the number. What is the number?

Options for question 48

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. 4(x−9)=3x−24(x - 9) = 3x - 2.

  2. 4x−36=3x−24x - 36 = 3x - 2, so x=34x = 34.

  3. Check: 4×25=1004 \times 25 = 100 and 3×34−2=1003 \times 34 - 2 = 100.

Worth noting

Writing 4x−94x - 9 instead of 4(x−9)(x - 9) gives 7. The brackets matter: the 4 multiplies the RESULT of the subtraction.

Concept
Translating words into a bracketed equation
Typical time
55 s
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Ten questions from Ages & Problems on Numbers, at your own pace.

Practise this chapter →

Ten questions from Ages & Problems on Numbers, at your own pace.