Dana was 5 years old last year. She was 26 years younger than Hazel.
- How old will her Hazel be 7 years later?
- In how many years' time will Dana's age be 13 of Hazel's age?
|
Dana |
Hazel |
Difference |
Before (Last year) |
5 |
31 |
26 |
Change 1 |
+ 1 |
+ 1 |
|
After 1 (Now) |
6 |
32 |
26 |
Change 2 |
+ 7 |
+ 7 |
|
After 2 (7 years later) |
|
? |
26 |
(a)
Hazel's age this year
= 5 + 26
= 31
Hazel's age this year
= 31 + 1
= 32
Hazel's age in 7 years' time
= 32 + 7
= 39
|
Dana |
Hazel |
Difference |
Before |
6 |
32 |
26 |
Change |
+ ? |
+ ? |
|
After |
1 u |
3 u |
2 u |
(b)
The difference in the age between Dana and Hazel at first and in the end remains unchanged.
Difference in the age between Dana and Hazel
= 3 u - 1 u
= 2 u
2 u = 26
1 u = 26 ÷ 2 = 13
Number of years' time that Dana's age be
13 of Hazel's age
= 13 - 6
= 7
Answer(s): (a) 39; (b) 7