Emma was 10 years old last year. She was 26 years younger than Gabby.
- How old will her Gabby be 6 years later?
- In how many years' time will Emma's age be 13 of Gabby's age?
|
Emma |
Gabby |
Difference |
Before (Last year) |
10 |
36 |
26 |
Change 1 |
+ 1 |
+ 1 |
|
After 1 (Now) |
11 |
37 |
26 |
Change 2 |
+ 6 |
+ 6 |
|
After 2 (6 years later) |
|
? |
26 |
(a)
Gabby's age this year
= 10 + 26
= 36
Gabby's age this year
= 36 + 1
= 37
Gabby's age in 6 years' time
= 37 + 6
= 43
|
Emma |
Gabby |
Difference |
Before |
11 |
37 |
26 |
Change |
+ ? |
+ ? |
|
After |
1 u |
3 u |
2 u |
(b)
The difference in the age between Emma and Gabby at first and in the end remains unchanged.
Difference in the age between Emma and Gabby
= 3 u - 1 u
= 2 u
2 u = 26
1 u = 26 ÷ 2 = 13
Number of years' time that Emma's age be
13 of Gabby's age
= 13 - 11
= 2
Answer(s): (a) 43; (b) 2