Question 8

The sum of two numbers is 80 and their difference is 8. What is the ratio of the two numbers?

Solution

Let the numbers be $$x$$ and $$y$$

Sum = $$x+y=80$$ ----------(i)

Difference = $$x-y=8$$ -----------(ii)

Adding both equations, => $$2x=80+8=88$$

=> $$x=\frac{88}{2}=44$$

Similarly, $$y=36$$

$$\therefore$$ $$\frac{x}{y}=\frac{44}{36}$$

=> $$x:y=11:9$$

=> Ans - (C)

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