SOLUTION: the sum of two numbers is 29. if the difference between the larger number and four times the smaller number is equal to 4, find the numbers.

Question 773710: the sum of two numbers is 29. if the difference between the larger number and four times the smaller number is equal to 4, find the numbers.
Answer by 303795(602) (Show Source): You can put this solution on YOUR website!
Let the bigger number be x and the smaller number be y.
x + y = 29
and
x - 4y = 4
Rewrite the first equation as x = 29 - y
Substitute this equation into the second one to get
29 - y - 4y = 4
i.e. 29 - 5y =4
Add 5y to each side of the equation
29 - 5y + 5y = 4 + 5y
i.e. 29 = 4 + 5y
Subtract 4 from each side of the equation
29 - 4 = 4 + 5y - 4
i.e. 25 = 5y
i.e. y = 5
If the two numbers add to make 29 then the second number(x) must be 24.

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