What will be the Ratio of Their Ages After 5 years? If

The average age of a mother and daughter is 21 years. The ratio of their respective age is 5:1. What will be the ratio of their ages after 5 years?

  1. 10:3
  2. 5:2
  3. 4:1
  4. 3:1
Monis Rasool Professor Asked on 8th June 2015 in Maths.
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1 Answer(s)

Answer: (A) 10: 3
Explanation:-

The average age of  a mother and daughter = 21 years
Sum of their age = 2 x 21 = 42

Let be the age of mother and daughter = 5X and X
Then, 5X + X = 42
6X = 42
X = 42/6
X = 7
Thus the age of mother and daughter = 5 x 7 and 7
= 35 years and 7 years

After 5 years their age = 35 + 5 and 7 + 5
= 40 years and 12 years

Therefore, the ratio of their age = 40/12
= 10: 3

Hence, the ratio of their ages after 5 years is 10: 3.

Anurag Mishra Professor Answered on 9th June 2015.
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