Question

Bobby,Billy, and Barry smith are each one year apart in age. The sum of their ages is greater than the age of their father , who is 60. How old the oldest brother can be?

Answer 1

22

Explanation:

It would be 22 since it says that there ages combined is greater than 60, not equal to 60.

21+20+19= 60, so the youngest age the oldest brother could be is 22 since

22+21+20= 63 which is greater than 60, not equal to 60.

Answer 2

The age of the oldest brother must be greater than 21 years

Explanation:

Let

x, x+1 and x+2 -----> the ages of the brothers

we know that

The sum of their ages must be greater than 60

so

The inequality that represent this situation is

`x+(x+1)+(x+2) > 60`

Solve for x

Combine like terms

`3x+3 > 60`

Subtract 3 both sides

`3x > 60-3`

`3x > 57`

Divide by 3 both sides

`x > 19`

so

if
`x > 19`

`x+1 >20\ years\\x+2 > 21\ years`

therefore

The age of the oldest brother must be greater than 21 years