Question

The ratio of the ages of amrita and esha is 5:8 and the sum of their ages is 26.find their ages

Answer 1

let the ages be x
then
amrita age = 5x
esha age = 8x
sum = 26
so
5x + 8x = 26
13x = 26
x = 26/13
x = 2
amrita age = 5x
= 5 × 2 = 10 years
esha age = 8x
= 8 × 2 = 16 years
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Answer 2

Dear friend,

Total ratio is 5+8 = 13

Ratio of Amrita is 5
Age of Amrita,

$\frac{5}{13} \times 26 = 10$

Ratio of Esha is 8
Age of Esha,

$\frac{8}{13} \times 26 = 16$

Answer. Amrita is 10 years. Esha is 16 years.

Hope it helps !!!