Basic Grade Six math word problem

Question

he age of a girl in elementary school is now a multiple of 2 and next year, will be a multiple of three. How old is she now?

This will happen again in high school. What age(s) will she be then?

This will also happen again in university. What age(s) will she be then?

How often does this happen?

Answer 1

Looking at the chart of grades and ages...

Grade     Age

K             5

1             6

2             7

3             8

4             9

5            10

 

6            11

7            12

8            13

 

9            14

10          15

11          16

12          17

 

C1          18  (C=College)

C2          19

C3          20

C4          21

She is 8 years old and next year will be 9 years old(a multiple of 3)

She will be 14 in grade 9(multiple of 2) and 15 in grade 10(multiple of 3)

In college she will be 20(multiple of 2) and 21(multiple of 3)

If she is 9 and you ask when her age again will be a multiple of 2 with the following year being a multiple of 3, then it happens at age 14 for a multiple of 2 and age 15 for a multiple of 3. From age 9 to age 14 is 5 years.

From age 15 to age 20(and then 21) another 5 years go by.