### Can anyone help me finding the solution

Posted:

**Mon Jan 09, 2012 9:22 pm**I have been trying to solve a problem for many days. That is-

The product of a man’s son’s age is 1664. The age of the youngest son is more than half the eldest son’s age. The man’s age is 50. Then how many sons does he have?

Problem Analysis:

1. We will have to express 1664 as a product of some small numbers.

2. Every number must be the factor of 1664.

3. Every number must be less than 50.

4. The smallest number must be more than the half of the biggest number.

Finding the solution:

Let us find the prime factors of 1664.

1664 = 2x2x2x2x2x2x2x13

1664 = 4x32x13 This does not fulfill condition 4.

1664 = 8x16x13 This does not fulfill condition 4.

1664 = 4x8x4x13 This does not fulfill condition 4.

1664 = 4x16x26 This does not fulfill condition 4.

Can anyone help me finding the solution?

The product of a man’s son’s age is 1664. The age of the youngest son is more than half the eldest son’s age. The man’s age is 50. Then how many sons does he have?

Problem Analysis:

1. We will have to express 1664 as a product of some small numbers.

2. Every number must be the factor of 1664.

3. Every number must be less than 50.

4. The smallest number must be more than the half of the biggest number.

Finding the solution:

Let us find the prime factors of 1664.

1664 = 2x2x2x2x2x2x2x13

1664 = 4x32x13 This does not fulfill condition 4.

1664 = 8x16x13 This does not fulfill condition 4.

1664 = 4x8x4x13 This does not fulfill condition 4.

1664 = 4x16x26 This does not fulfill condition 4.

Can anyone help me finding the solution?