Question

The sum of two numbers is 3 more than three times of the smaller. If
difference of the numbers is 5, find the number.​

Answer 1

Explanation:

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

Then the first condition says x+y−3y=3.

The second condition gives x−y=5.

Thus we get two equations

x−2y=3 .... (1)

x−y=5 .... (2)

Subtracting the equation (2) by (1), we get −y=−2.

Hence y=2.

This gives x=y+5=2+5=7.

Thus the larger number is 7 and the smaller is 2.