Question

Rahul and laxmi are in the ration 5:7 four years later ,the sum of their ages will be 56years. what are their present ages

Answer 1

hey !!!!
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Let common ratio between Rahul’s age and Laxmi’s age be x.

Therefore, age of Rahul and Laxmi will be 5xyears and 7x years respectively. After 4 years, the age of Rahul and Laxmi will be (5x + 4) years and (7x + 4) years respectively.

According to the given question, after 4 years, the sum of the ages of Rahul and Laxmi is 56 years.

∴ (5x + 4 + 7x + 4) = 56

12x + 8 = 56

On transposing 8 to R.H.S, we obtain

12x = 56 − 8

12x = 48

On dividing both sides by 12, we obtain

$\frac{12x}{12} = \frac{48}{12}$


x = 4

Rahul’s age = 5x years = (5 × 4) years = 20 years

Laxmi’s age = 7x years = (7 × 4) years = 28 years

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Hope it helps u !!!!!

Cheers :))

# Nikky