# The larger of two numbers is 10 less than twice the smaller number. If the sum of the two numbers is 38, what are the two numbers?

##### 1 Answer

Oct 10, 2017

22 and 16

#### Explanation:

Let the larger number is x and smaller number is y.

As per question, x = 2y - 10 or, x - 2y = - 10 ...............(i)

& x+ y = 38 ............. (ii

solving eqn (i) and eqn (ii), we get y = 16 and x = 22.

Hence two numbers are 22 and 16.