1.

The ages of Rahul and Laxmi are in the ratio 5:7,Four years later the sum of their ages will be 56 years.What are their present ages​

Answer»

Answer

  • Their ages will be 20 & 28 years

Explanation

Given

  • Ratio of the ages of Rahul and LAKSHMI is 5:7
  • After 7 years the SUM of their ages will be 56

To Find

  • Their present ages?

Solution

So as PER the ratio,

  1. Rahul's age = 5x
  2. Lakshmi's age = 7X

After 4 years

  1. Rahul's age = 5x+4
  2. Lakshmi's age = 7x+4

Sum of their ages will be 56,

➝ (5x+4) + (7x+4) = 56

➝ 5x+4+7x+4 = 56

➝ 5x+7x+4+4 = 56

➝ 12x+8 = 56

➝ 12x = 56-8

➝ 12x = 48

➝ x = 48/12

➝ x = 4

✭ Present age of Rahul

➝ 5x = 5×4 = 20 years

✭ Present age of Lakshmi

➝ 7x = 7×4 = 28 years



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