Question

Arjun is thrice as old as Priya. Three years ago his age was 6 times Priya’s age. Find their present ages.

Answer 1

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Let us imagine that Priya's present age be x.

As per statement, Arjun is thrice as old as Priya, means Arjun present age is 3x.

Three years ago their ages were Priya, x- 3 and Arjun 3x-3, his age was six times the Priya age.

3x - 3 =6 (x-3)

3x-3= 6x-18

3x-6x = -18+3

-3x= -15

3x=15

x=

$\frac{15}{3}$

$= 5years$

Priya present age 5 years

Arjun is thrice as old as Priya, therefore Arjun present age is 3x= 3×5= 15 years

Answer:: Priya present

age 5 years and Arjun present age 15 years.

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