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Q: The sum of the ages of a mother, son and daughter is 70 years. If the mother is thrice as old as her son and the daughter is 5 years older than her brother, how old is the mother?
  • A. 39 years
  • B. 35 years
  • C. 42 years
  • D. 45 years
Correct Answer: Option A - Given, The sum of the ages of a mother, son and daughter = 70 M + S + D = 70 .......... (i) M = 3S D = 5 + S Putting value in eqn (i) 3S + S + 5 + S = 70 S = 13 So, M = 39 and D = 18
A. Given, The sum of the ages of a mother, son and daughter = 70 M + S + D = 70 .......... (i) M = 3S D = 5 + S Putting value in eqn (i) 3S + S + 5 + S = 70 S = 13 So, M = 39 and D = 18

Explanations:

Given, The sum of the ages of a mother, son and daughter = 70 M + S + D = 70 .......... (i) M = 3S D = 5 + S Putting value in eqn (i) 3S + S + 5 + S = 70 S = 13 So, M = 39 and D = 18