Question

the present age of a and b are in the ratio 5:6 three year ago their age were in the ratio 4:5•find their present age?

Answer 1

$heya \: dear \\ here \: is \: your \: answer$
three years ago the age of 4x,5x

now the present age will be

the present age of =4x+3
the present age of b=5x+3

=4x+3÷5x+3=5÷6
5(5x+3)=6(4x+3)
25x+15=24x+18
25x-24x=18-15
x=3

their present age will be
5x=5×3=15yr✔
6x=6×3=18yr✔

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together we go far

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Answer 2

$\underline{\mathfrak{Solution :}}$

Let the present age of A be $\textbf{5x}$ years

So, the present age of B be $\textbf{6x}$ years

According to Question,

(5x - 3) / (6x - 3) = 4/5

=> 5(5x - 3) = 4(6x - 3)

=> 25x - 15 = 24x - 12

=> 25x - 24x = - 12 + 15

=> x = 3

Hence,

The present age of A = 5x years
= 5 × 3 years
= $\textbf{15 years}$

The present age of B = 6x years
= 6 × 3 years
= $\textbf{18 years}$

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