Question

The weights of Alka and Anima are in the ratio 19: 17. If Alka is 57 kg. Find the weight of Anima.

Answer 1

Given :-

• Weight of Alka = 57 kg
• The Ratio of weights of Alka and Anima is 19:17

To find :-

Weight of Anima = ?

Solution :-

Firstly write the ratio and given weights in the form of proportion.

Ratio (Alka) : Ratio (Anima) :: Weight (Alka) : Weight (Anima)

Let the weight of Anima be x

19 : 17 :: 57 : x

For solving this:

Product of means = Product of extremes

So,

19x = 17 × 57

⇒ x = (17 × 57) ÷ 19

⇒ x = 969 ÷ 19

⇒ x = 51

∴ Weight of Anima = 51 kg