1.

A father age is equal to the sum of his 5 children's. In 15 years his age will be half of the sum of their ages. How old is the father?Plzz send me the answer​

Answer»

Answer:

Let us CONSIDER the age of the father x and the SUM of AGES of the 5 children as y.

At present,

x=y−−−−(i)

After 15 years,

Father’s age = x + 15

Sum of children’s ages = y + 5*15 (Because in the course of 15 years, each child will grow by 15 years)

x+15=1/2(y+5∗15)−−−−(ii)

Solving (i) and (ii), we get by substituting the value of x from (i) in (ii)

y+15=1/2(y+5∗15)

=>2y+30=y+75

=> y=45

which implies, x = 45

The age of the father is 45 year old

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