Question

if the present age of A & B is 40 & 60. how many years ago their age ratio was 3:5?

Answer 1

Present Age of A=40 years

Present Age of B=60 years

Let 'X' years ago Their Age was in Ratio 3:5

As

Ratio was in Past ages

So we will Subtract X from both present age.

A age was=40-x years

B age was=60-x years

Now Their Age is Equavalent to Ratio=3:5

Means

A age Then:B age Then=3:5

40-x:60-x=3:5

$\frac{40 - x}{60 - x} = \frac{3}{5} \\ \\ 5(40 - x) = 3(60 - x) \\ \\ 200 - 5x = 180 - 3x \\ \\ - 5x + 3x = 180 - 200 \\ \\ - 2x = - 20 \\ \\ x = \cancel{\frac{ - 20}{ - 2} } \\ \\ x = 10$

X=10

So 10 years ago Their ages was in Ratio 3:5