the age of father is equal to sum of ages of his six children. after 15 years, twice the age of the father will be the sum of ages of his children. find the age of the father
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let sum of the ages of children be x
- let the age of father be y
age of father= sum of ages of children
So,x=y
after 15 years
age of father=y+15
age of chidren= x+15×6
as age of each child will increase
so
2(y+15)=x+15×6
2y+30=x+90
as,x=y,
2x+30=x+90
x=60
so,age of father is 60
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