One number is two less than seven times another number. If the sum of the numbers is 22, find the numbers.

19 and 3

Step-by-step explanation:

Given

Let both numbers be a and b.

So:

--- Their sum

--- 2 less than 7 of the other number

Required

Find both numbers

Substitute 7b - 2 for a in the first equation

Collect like terms

Divide both sides by 8

Substitute 3 for b in

Hence, the numbers are 19 and 3

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