Question

The average age of five children is 8 years if the age of father is added to their agethe average age increased by seven more years age of father will be

Answer 1

Answer:

FATHER'S AGE WILL BE 50 YEARS

Step-by-step explanation:

Let the age of 6 children be x₁, x₂, x₃, x₄, x₅

And the father's age be y

The average of 5 children's age is 8

So (x₁ + x₂ + x₃ + x₄ + x₅) / 5  = 8

So x₁ + x₂ + x₃ + x₄ + x₅ = 40

Now when father’s age is also included

( (x₁ + x₂ + x₃ + x₄ + x₅) +y) / 6 = 8 + 7 = 15

Substituting the value of x₁ + x₂ + x₃ + x₄ + x₅= 40 in this equation we get

(40 + y) / 6 = 15

40 + y = 15 x 6

 

y = 90 - 40

y = 50 years