Question

Given that one number is 7 times the other & that the difference is 75.
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Answer 1

Step-by-step explanation:

x+y = 56

x = 3y

Substitute for x in the first equation:

x + y = 56

x = 3y

3y + y = 56

Combine like terms:

4y = 56

Divide both sides by 4:

y = 14

So if y = 14, and x = 3y, then x = 42.

Now substitute for both x and y in both of the original equations to prove they are the correct values.

x + y = 56

x = 42

y = 4

42 + 14 = 56

56 = 56

x = 3y

x = 42

y = 14

42 = 3*14

42 = 42

So the two numbers, x and y, are 42 and