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20 votes
20 votes
The difference between two numbers is 31. Four times the smaller is equal to eight more than the larger. What are the numbers?

User Mattasse
by
3.0k points

1 Answer

15 votes
15 votes

Answer:

13 and 44

Explanation:

let x and y be the 2 numbers with y < x , then

x - y = 31 ( add y to both sides )

x = y + 31 ( subtract 31 from both sides )

x - 31 = y → (1)

4y = x + 8 → (2)

substitute y = x - 31 into (2)

4(x - 31) = x + 8

4x - 124 = x + 8 ( subtract x from both sides )

3x - 124 = 8 ( add 124 to both sides )

3x = 132 ( divide both sides by 3 )

x = 44

substitute x = 44 into (1)

44 - 31 = y , then

y = 13

the 2 numbers are 13 and 44

User Renuka Pandey
by
2.8k points
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