Question : Directions: The sum of the ages of the mother, daughter, and son is 87 years. What will be the sum of their ages after 8 years?
Option 1: 101
Option 2: 110
Option 3: 111
Option 4: 105
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Correct Answer: 111
Solution :
Given:
The sum of the ages of the mother, daughter, and son = 87 years
Let the mother's present age be A years, the daughter's present age be B years, and the son's present age be C years.
⇒ A + B + C = 87
After 8 years, mother's age = (A + 8) years, daughter's age = (B + 8) years, and son's age = (C + 8) years
Sum of their ages after 8 years = (A + 8) + (B + 8) + (C + 8)
= A + B + C + 24
= 87 + 24
= 111
So, the sum of their ages will be 111 years. Hence, the third option is correct.
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