Nicole will be 62 years old in 2 years' time. Now, Gabby's age is 56 of Nicole's age. What was Gabby's age when she was 7 years less than 90% of Nicole's age?
| |
Gabby |
Nicole |
Difference |
| Before |
9 p - 7 |
10 p |
1 p + 7 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 2 |
+ 2 |
|
| After |
5 u + 2 |
62 |
|
Nicole's age in 2 years' time = 6 u + 2
6 u + 2 = 62
6 u = 62 - 2
6 u = 60
1 u = 60 ÷ 6 = 10
Difference between Nicole's age and Gabby's age
= 1 u
= 10
90% =
90100 =
910 Difference in Nicole's age and Gabby's age at first
= 10 p - (9 p - 7)
= 1 p + 7
The difference in age between Nicole and Gabby remains unchanged.
1 p + 7 = 10
1 p = 10 - 7 = 3
Gabby's age when she was 7 years less than 90% of Nicole's age
= 9 p - 7
= 9 x 3 - 7
= 27 - 7
= 20
Answer(s): 20
