The age of a father is twice the sum of the ages of his 3 children. After 15 years, his age will be equal to the sum of the ages of his children. How old will the father be 15 years later?
- AOption (a)
95 years
- BOption (b)
90 years
- COption (c)
85 years
- DOption (d)
75 years
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Correct answer
75 years
Why this answer is correct
According to the question:
- The age of a father is twice the sum of the ages of his 3 children.
2) After 15 years, his age will be equal to the sum of the ages of his children.
Let the age of the father be = F
Let the age of the 3 children be = C1, C2 and C3
So,
F = 2 (C1 + C2 + C3) --------- (1)
After 15 years,
F + 15 = (C1 + 15) + (C2 + 15) + (C3 + 15)
F + 15 = (C1 + C2 + C3) + 45
F = (C1 + C2 + C3) + 30 ------------- (2)
From (1) and (2), we get
F = (F ÷ 2) + 30
2F = F + 60
F = 60
Thus, father's ager after 15 will be:
F = 60 + 15 = 75 years
Hence, "Option 4" is the correct answer.



