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Ages & Problems on Numbers · Question 41 of 60

Question 41

EasyOriginal question

A number is 12 more than one-third of itself. What is the number?

Options for question 41

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. x−x3=12x - \frac{x}{3} = 12, so 2x3=12\frac{2x}{3} = 12.

  2. x=12×32=18x = 12 \times \frac{3}{2} = 18. Check: 6+12=186 + 12 = 18.

Worth noting

36 treats 12 as one-third of the number. The 12 is the OTHER two-thirds.

Concept
A number compared with a fraction of itself
Typical time
35 s
Your time
—
The rule this testsProblems on numbers
Practise this chapter →

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.