Question

Solve the word problems using systems.

The sum of two numbers is 842. The difference is 314. Find the numbers.

Answer 1

The numbers are 578 and 264

Explanation:

Let

x-----> the greater number

y----> the smaller number

we know that

x+y=842 -----> equation A

x-y=314 -----> equation B

Adds equation A and equation B

x+y=842

x-y=314

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

x+x=842+314

2x=1,156

x=578

Find the value of y

578+y=842

y=842-578=264