what are the 2 numbers?

Question

The sum of two numbers is 31. Twice the larger number is 7 more than 3 times the smaller number. What are the numbers?

Answer 1

X + Y = 31

 

2X = 3Y + 7

 

X+Y=31

2X-3Y=7

 

DOUBLE TOP EQ.

 

2X+2Y=62

 

2X - 3Y = 7

 

SUBTRACT EQS.

 

5Y = 55

 

Y = 11

 

2X -3(11) = 7

2X = 7+33

2X =40

X=20