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Ages & Problems on Numbers · Question 13 of 60

Question 13

MediumOriginal question

The sum of the present ages of Sushmita and her daughter Ishita is 55 years. Ten years from now, Sushmita will be twice as old as Ishita. How old is Ishita now?

Options for question 13

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Let Ishita be dd; Sushmita is 55−d55 - d.

  2. In 10 years: 65−d=2(d+10)65 - d = 2(d + 10).

  3. 65−d=2d+2065 - d = 2d + 20, so 3d=453d = 45 and d=15d = 15.

  4. Check: in 10 years they are 50 and 25.

Worth noting

25 years is Ishita's age ten years from now. Answer for the present.

Concept
Sum of ages with a future multiple
Typical time
75 s
Your time
—
The rule this testsProblems on ages
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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.