The difference between two positive integers is 63. The ratio of the two integers is 2:5. Find the two integers. [Page No. 21]

Let the integers be $2k$ and $5k$.

Then $5k - 2k = 63$

$$\Rightarrow 3k = 63$$

$$\Rightarrow k = 21.$$

Hence, the integers are 2(21) = 42 and 5(21) = 105.