Question

Father's age is equal to the sum of the ages of his five children. After fifteen years his age will be only half of the sum of children's age. How old is the father?

Answer 1

Answer:

Let x = father's age, let y = su, of children's ages. According to first sentence x = y. The second equation represents 15 years later, so dad is 15 yeares older, x + 15. The children are each fiftenn years older so their total increases by 75, 15 years per child, so thei total age is now y + 75.

Step-by-step explanation:

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Answer 2

Answer:

Let present age of father = X years

Present age of 5 children together = Y years

Y = X

Father's age after 15 years = ( X + 15 )years

Age of 5 children after 15 years = ( Y + 15(5)) years ==> (Y + 75)years

Therefore, as per question, (where Y=X)

X + 75 = 2 (X+ 15)

X + 75 = 2X + 30

X = 45

Therefore father's age = 45 years

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