Name: Jim
Who is asking: Parent
Level: Secondary

Question:
From an ACT practice test:

If A/30 + B/105 = (7A + 2B)/x and A, B, and x are integers greater than 1, what must x equal?

There is probably something fast and reasonably simple, but I don't see it.

From the way this problem is worded I would change the numerators of the two fractions to 7A and 2B, respectively. That is, for the first fraction multiply the numerator and denominator by 7 to get

 ^A/₃₀ = ^7A/_{7 30} = ^7A/₂₁₀

 ^B/₁₀₅ = ^2B/_{2 105} = ^2B/₂₁₀.