Question

1)The sum of two numbers is 43, and their differences is 7. Find the smaller number.

Answer 1

so lets start with making these equations

x + y = 43

x - y = 7

now we can rewrite the second equation in terms of x

x = 7 + y

now we plug that x value back into the first equation

7 + y + y = 43

7 + 2y = 43

2y = 36

y = 18

now we can plug the value of y into the rewritten second equation leaving us with

x = 7 + 18

x = 25

so y = 18 and x = 25

and the difference is 7

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