Question

Radha and Meera are sisters. The sum of the ages of the siblings and their father is 85years. Radha'sage is (3/4)th of Meera's age and their father is 2 and 1/2 times Meera's age. Find how old is Radha.Immersive Reader

Answer 1

Given:

Radha and Meera are sisters.

The sum of the ages of the siblings and their father is 85 years

Radha'sage is (3/4)th of Meera's age and their father is 2 and 1/2 times Meera's age

To find:

Find how old is Radha?

Solution:

Let's assume,

"R" → represents Radha's age

"M" → represents Meera's age

"F" → represents Father's age

We have,

Radha'sage is (3/4)th of Meera's age, so the eq. will be:

$R = \frac{3}{4} M$ ...... (i)

and

Their father is 2 and 1/2 times Meera's age, so the eq. will be:

$F = 2\frac{1}{2} \times M= \frac{5}{2} M$ ...... (ii)

Now,

The sum of the ages of all 3 of them is 85 years, so the eq. will be:

$R + M + F = 85$

substituting from (i) & (ii), we get

$\implies \frac{3M}{4} + R + \frac{5M}{2} = 85$

$\implies \frac{3M + 4M + 10M}{4} = 85$

$\implies \frac{17M }{4} = 85$

$\implies M = \frac{85 \times 4 }{17}$

$\implies M = 20$

Substituting the value of M = 20 in eq. (i), we get

$R = \frac{3}{4} \times 20 = 15$

Thus, Radha's age is 15 years old.

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