EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Ages & Problems on Numbers · Question 22 of 60

Question 22

MediumOriginal question

Eight years from now, Diya's age will be five-thirds of her age four years ago. What is her present age?

Options for question 22

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Let her present age be xx: x+8=53(x−4)x + 8 = \frac{5}{3}(x - 4).

  2. Multiply by 3: 3x+24=5x−203x + 24 = 5x - 20.

  3. 2x=442x = 44, so x=22x = 22. Check: 30=53×1830 = \frac{5}{3} \times 18.

Worth noting

18 years is her age four years ago and 30 years her age eight years ahead; both come from the check.

Concept
Fractional multiple across two times for one person
Typical time
70 s
Your time
—
The rule this testsProblems on ages
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.