Jeremy's current age is 7 times as old as Tom's age years ago. Today, Tom's age is Jeremy's age the same number of years ago. How old is Jeremy's age now if the total of their current age is 110?
| |
Jeremy |
Tom |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
7 u |
1 p |
7 u - 1 p |
110 |
Total age of Jeremy and Tom today = 7 u + 1 p
7 u + 1 p = 110 --- (1)
The difference in Jeremy's age and Tom's age remains the same.
7 u - 1 p = 1 p - 1 u
7 u + 1 u = 1 p + 1 p
8 u = 2 p
4 u = 1 p
Substitute 1 p = 4 u into (1).
7 u + 1 p = 110
7 u + 4 u = 110
11 u = 110
1 u = 110 ÷ 11 = 10
Jeremy's age now
= 7 u
= 7 x 10
= 70
Answer(s): 70
