SOLUTION: The sum of 2 numbers is 25. 12 less than 4 times one of the numbers is 16 more than twice the other number. Find both numbers.

Question 211099: The sum of 2 numbers is 25. 12 less than 4 times one of the numbers is 16 more than twice the other number. Find both numbers.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let the two numbers be a and b.
a+b = 25 "The sum of two numbers is 25."
4a-12 = 2b+16 "12 less than 4 times one of the numbers (4a-12) is 16 more than twice the other number(2b+16)."
Rewrite the first equation as: a = 25-b and substitute into the second equation.
4(25-b)-12 = 2b+16 Simplify and solve for b.
100-4b-12 = 2b+16 Add 4b to both sides.
88 = 6b+16 Subtract 16 from both sides.
72 = 6b Divide both sides by 6.
12 = b and...
a = 25-b
a = 25-12
a = 13
The two numbers are 12 and 13.

RELATED QUESTIONS
The sum of two numbers is 25. Twelve less than four times one of the numbers is 16 more... (answered by drj)

the sum of two numbers is 25. 12 less than four times one of the numbers is 16 more than... (answered by mananth)

Please Help! The question is: The Sum of two numbers is 25. Tweleve less than four... (answered by checkley71)

the sum of two numbers is 16. one number is 4 less than 3 times the other. find the... (answered by harpazo)

Please help me solve this equation. It says to define a variable, write an equation and... (answered by KMST)

The sum of two numbers is 72. One number is 12 less than the other. Find both numbers. (answered by algebrahouse.com)

The sum of 2 numbers is 20. Twice one number is 4 more than 4 times the other. Find the (answered by checkley77)

The sum of two numbers is -12.one number is 3 more than twice the other (answered by checkley77)

the product of two numbers is 84. One number is 13 more than 2 times the other. Find both (answered by Maths68)