Question

The age of arjun is twice twice the sum of the ages of his two children. After20 years, his age will be equal to the sum of the ages of his children. Find the age of the father

Answer 1

Answer:

The age of the father is 40 years.

Step-by-step explanation:

Let the father's age be F.

Let the sum of the ages of his children be C.

Now, F = 2C (equation 1; father age twice the sum of children age)

After 20 years, F + 20 = C + 20 + 20 (equation 2; 20 years added for each son)

Putting value of F from equation 1 into equation 2,

2C + 20 = C + 20 + 20

2C = C + 20

2C - C = 20

C = 20

Putting value of C into equation 1,

F = 2C

F = 2 * 20

F = 40.

Validation of the answer:

Now, Father's age, F is 40, which is twice the sum of children age, C, 20 (suppose each child is 10 years old).

After 20 years, Father's age, F would be 60, which would be equal to the sum of children age, 60 (suppose each child has grown upto 30 years).