77.9k views
1 vote
Two numbers have a sum of 31. One number is 7 more than the other. Find the numbers.

1 Answer

5 votes

Answer:

The numbers are 12 and 19.

Step-by-step explanation:

x - first number

y - second number

{x + y = 31

{x = y + 7

{x + y = 31

{x - y = 7 (+)

----------------------------

x + x + y - y = 31 + 7

2x = 24

x = 12

{x = 12

{12 + y = 31

{x = 12

{y = 19

User Robert Munn
by
5.1k points