Gabby was 7 years old last year. She was 24 years younger than Fanny.
- How old will her Fanny be 5 years later?
- In how many years' time will Gabby's age be 13 of Fanny's age?
| |
Gabby |
Fanny |
Difference |
| Before (Last year) |
7 |
31 |
24 |
| Change 1 |
+ 1 |
+ 1 |
|
| After 1 (Now) |
8 |
32 |
24 |
| Change 2 |
+ 5 |
+ 5 |
|
| After 2 (5 years later) |
|
? |
24 |
(a)
Fanny's age this year
= 7 + 24
= 31
Fanny's age this year
= 31 + 1
= 32
Fanny's age in 5 years' time
= 32 + 5
= 37
| |
Gabby |
Fanny |
Difference |
| Before |
8 |
32 |
24 |
| Change |
+ ? |
+ ? |
|
| After |
1 u |
3 u |
2 u |
(b)
The difference in the age between Gabby and Fanny at first and in the end remains unchanged.
Difference in the age between Gabby and Fanny
= 3 u - 1 u
= 2 u
2 u = 24
1 u = 24 ÷ 2 = 12
Number of years' time that Gabby's age be
13 of Fanny's age
= 12 - 8
= 4
Answer(s): (a) 37; (b) 4
