Jeremy's current age is 9 times as old as Michael's age years ago. Today, Michael's age is Jeremy's age the same number of years ago. How old is Michael's age now if the total of their current age is 70?
|
Jeremy |
Michael |
Difference |
Total |
Before |
1 p |
1 u |
1 p - 1 u |
|
Change |
+ ? |
+ ? |
|
|
After |
9 u |
1 p |
9 u - 1 p |
70 |
Total age of Jeremy and Michael today = 9 u + 1 p
9 u + 1 p = 70 --- (1)
The difference in Jeremy's age and Michael's age remains the same.
9 u - 1 p = 1 p - 1 u
9 u + 1 u = 1 p + 1 p
10 u = 2 p
5 u = 1 p
Substitute 1 p = 5 u into (1).
9 u + 1 p = 70
9 u + 5 u = 70
14 u = 70
1 u = 70 ÷ 14 = 5
Jeremy's age now
= 70 - 9 u
= 70 - 9 x 5
= 70 - 45
= 25
Answer(s): 25