Question

Suppose the ratio of Lev's age to Mina's age is 1:2 and the ratio of Mina's age to Naomi's age is 3:4

If the sum of all three ages is between 30 and 50, then how old is Mina?

Answer 1

Lev=L
Mina=M
Naomi=N

L:M           M:N
1:2             3:4
3:6             6:8
6:12         12:16

6+12+16=34
Mina is 12 years old.

Answer 2

1/2M +M+ 4/3M = 30 to 50 (multiply eq'n by 6)
3M + 6M + 8M = 180 to 300
17M = 180 to 300
To ensure all ages are whole numbers, find all numbers between 180 and 300 divisible by 17 and 6 = 204
17 M = 204
M = 12