Question

Ron is five years older than twice his cousin Pats age. The sum of their ages is less than 35.

What is the greatest age that Pat can be.
A) 7
B)8
C)9
D)10

Answer 1

C.9

Explanation:

Answer 2

C. 9

Explanation:

Ron is five years older than twice his cousin's age. Lets assume that Pat's age is 'x' years.

So Ron's age is
`2* x+5=2x+5`

The question says:

`x+2x+5<35`

`3x+5<35`

`3x<35-5`

`3x<30`

`x<10`

Pat's age
`(x)` should be less than 10. Therefore, the greatest age (in integer) that Pat can be is 9 years.