Erika will be 36 years old in 12 years' time. Now, Jade's age is 12 of Erika's age. What was Jade's age when she was 6 years less than 80% of Erika's age?
| |
Jade |
Erika |
Difference |
| Before |
4 p - 6 |
5 p |
1 p + 6 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
1 u |
2 u |
1 u |
| Change 2 |
+ 12 |
+ 12 |
|
| After |
1 u + 12 |
36 |
|
Erika's age in 12 years' time = 2 u + 12
2 u + 12 = 36
2 u = 36 - 12
2 u = 24
1 u = 24 ÷ 2 = 12
Difference between Erika's age and Jade's age
= 1 u
= 12
80% =
80100 =
45 Difference in Erika's age and Jade's age at first
= 5 p - (4 p - 6)
= 1 p + 6
The difference in age between Erika and Jade remains unchanged.
1 p + 6 = 12
1 p = 12 - 6 = 6
Jade's age when she was 6 years less than 80% of Erika's age
= 4 p - 6
= 4 x 6 - 6
= 24 - 6
= 18
Answer(s): 18
