Question

The sum of two numbers is 21. 3/4of one of the numbers added to 2/3 of the other gives a sum of 15. Find the two numbers.​

Answer 1

First, We'll take two numbers as 'x' and 'y', and their sum is given as 21 i.e. x + y = 21 . 3/4th of 'x' and 2/3rd of 'y' when added gives 15 i.e.

(3/4)x + (2/3)y = 15. Now, we've got two equations and we'll solve them to get the value of x and y which will be the two numbers.

Explanation:

let,

first number = x

second number = y

then , x + y = 21

according to the question,

(3/4)x + (2/3)y = 15

Now, solve these equations :

on solving, we get :

x = 12 & y = 9

Hence, the two numbers are 12 and 9.