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the age of the father is equal to sum of the ages of his 6 children. after 15 years twice the age of the father will be the sum of ages of his children. find age of father

Posted by Khushbu B 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Rupender Singh 6 years, 11 months ago

Let the age of father be x.

and the average age of one child be y.

Present age of father = sum of ages of 6 children

x = 6y ................................. (i)

After 15 years

Father's age = x + 15

Age of one child = y + 15

According to question

2(x + 15) = 6 (y + 15)

2x + 30 = 6y + 90

2 × 6y + 30 = 6y + 90 ....... [substitude x = 6y from (i)]

12y + 30 = 6y + 90

12y - 6y = 90 - 30

6y = 60

{tex}\eqalign{ & \,\,\,\,\,y\,\, = \,\,{{60} \over 6}\,\, = \,\,10 \cr & \,\,x\,\, = \,\,6y\,\, = \,\,6\,\, \times \,\,10\,\, = \,\,60 \cr} {/tex}

Hence the age of father be = x = 60 years.

1Thank You

ANSWER

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