Cole's current age is 9 times as old as Ryan's age years ago. Today, Ryan's age is Cole's age the same number of years ago. How old is Cole's age now if the total of their current age is 112?
| |
Cole |
Ryan |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
9 u |
1 p |
9 u - 1 p |
112 |
Total age of Cole and Ryan today = 9 u + 1 p
9 u + 1 p = 112 --- (1)
The difference in Cole's age and Ryan'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 = 112
9 u + 5 u = 112
14 u = 112
1 u = 112 ÷ 14 = 8
Cole's age now
= 9 u
= 9 x 8
= 72
Answer(s): 72
