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Question 16

The sum of 5% of a number and 9% another number is equal to sum of the 8% first number and 7% of the second number. The ratio between the numbers is

With numbers $$x$$ and $$y$$, the condition gives $$0.05x+0.09y=0.08x+0.07y$$, so $$0.02y=0.03x$$, giving $$\frac{x}{y}=\frac{2}{3}$$. So the ratio between the numbers is $$2 \colon 3$$.

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