The difference of two integers is 9. Five times the smaller is 7 more than three times the larger.

Question

Find the numbers using an equation. 

Answer 1

X-Y = 9 ---> X = Y+9

 

5Y = 3X+7

 

5Y = 3(Y+9) + 7

 

5Y = 3Y + 27 + 7

 

5Y = 3Y + 34

 

2Y = 34

 

Y=17

X=26