Cindy will be 82 years old in 10 years' time. Now, Jen's age is 56 of Cindy's age. What was Jen's age when she was 2 years less than 90% of Cindy's age?
| |
Jen |
Cindy |
Difference |
| Before |
9 p - 2 |
10 p |
1 p + 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 10 |
+ 10 |
|
| After |
5 u + 10 |
82 |
|
Cindy's age in 10 years' time = 6 u + 10
6 u + 10 = 82
6 u = 82 - 10
6 u = 72
1 u = 72 ÷ 6 = 12
Difference between Cindy's age and Jen's age
= 1 u
= 12
90% =
90100 =
910 Difference in Cindy's age and Jen's age at first
= 10 p - (9 p - 2)
= 1 p + 2
The difference in age between Cindy and Jen remains unchanged.
1 p + 2 = 12
1 p = 12 - 2 = 10
Jen's age when she was 2 years less than 90% of Cindy's age
= 9 p - 2
= 9 x 10 - 2
= 90 - 2
= 88
Answer(s): 88
