Question

The ages of Hari and Arun are in the ratio 4:5 after 8 years the ratio of their age will be 5:6.Find their present ages.

Answer 1

Hope this will help you...

Answer 2

Here ratio of their present ages is given as 4:5 .

Multiply them with x.

Then,,

age of Hari = 4x

age of Arun = 5x

after 8 years

age of Hari =

$= 4x + 8$

and age of Arun =

$= 5x + 8$

ratio is given as 5:6

then,

$\frac{4x + 8}{5x + 8} = \frac{5}{6 } \\ 6(4x + 8) = 5(5x + 8) \\ 24x + 48 = 25x + 40 \\ 48 - 40 = 25x - 24x \\ x = 8$

age of Hari

$4x = 4 \times 8 = 32 \: year$

age of Arun

$5x = 5 \times 8 = 40year$

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