Yen will be 72 years old in 12 years' time. Now, Nora's age is 56 of Yen's age. What was Nora's age when she was 4 years less than 75% of Yen's age?
| |
Nora |
Yen |
Difference |
| Before |
3 p - 4 |
4 p |
1 p + 4 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 12 |
+ 12 |
|
| After |
5 u + 12 |
72 |
|
Yen's age in 12 years' time = 6 u + 12
6 u + 12 = 72
6 u = 72 - 12
6 u = 60
1 u = 60 ÷ 6 = 10
Difference between Yen's age and Nora's age
= 1 u
= 10
75% =
75100 =
34 Difference in Yen's age and Nora's age at first
= 4 p - (3 p - 4)
= 1 p + 4
The difference in age between Yen and Nora remains unchanged.
1 p + 4 = 10
1 p = 10 - 4 = 6
Nora's age when she was 4 years less than 75% of Yen's age
= 3 p - 4
= 3 x 6 - 4
= 18 - 4
= 14
Answer(s): 14
