Question

Sam is 5 years older than mike. In 6 years, Mike will be 7 more than half of sams age. How old is Sam now?

Answer 1

Let m be Mike's age. Then Sam's age = m + 5.
In 6 years, Mike's age will be m + 6, and Sam's age will be m + 5 + 6 = m + 11.
Now we can write the following equation:

`(m+11)/(2)=m+6-7`
which reduces to:

`(m+11)/(2)=m-1`
Cross-multiplying we get:
m + 11 = 2m - 2
which when solved gives m = 13. Therefore Sam's age now is 13 + 5 = 18.
The answer is 18 years old.