Question

Three times the sum of two numbers is 105. The difference of greater and the smaller number is 13. Find the numbers.​

Answer 1

Answer:

Let the two numbers be x and y (x be the greater one and y be the smaller one)

3(x+y)=105

=>x+y=105/3

=>x+y=35...equation 1

x-y=13...equation 2

By adding equations 1 and 2 we get

x+y=35

x-y=13

We get 2x=48

=>x=48/2=24

Substitute x = 24 in equation 1

x+y=35

=>24+y=35

=>y=35-24

=>y=11

Therefore,the greater number is 24 and the smaller one is 11