Kathy was 9 years old last year. She was 26 years younger than Marion.
- How old will her Marion be 6 years later?
- In how many years' time will Kathy's age be 13 of Marion's age?
|
Kathy |
Marion |
Difference |
Before (Last year) |
9 |
35 |
26 |
Change 1 |
+ 1 |
+ 1 |
|
After 1 (Now) |
10 |
36 |
26 |
Change 2 |
+ 6 |
+ 6 |
|
After 2 (6 years later) |
|
? |
26 |
(a)
Marion's age this year
= 9 + 26
= 35
Marion's age this year
= 35 + 1
= 36
Marion's age in 6 years' time
= 36 + 6
= 42
|
Kathy |
Marion |
Difference |
Before |
10 |
36 |
26 |
Change |
+ ? |
+ ? |
|
After |
1 u |
3 u |
2 u |
(b)
The difference in the age between Kathy and Marion at first and in the end remains unchanged.
Difference in the age between Kathy and Marion
= 3 u - 1 u
= 2 u
2 u = 26
1 u = 26 ÷ 2 = 13
Number of years' time that Kathy's age be
13 of Marion's age
= 13 - 10
= 3
Answer(s): (a) 42; (b) 3