SOLUTION: The sum of two numbers is 64. Two more than twice the larger number is five less than seven times the smaller. Find the numbers.

Question 190263: The sum of two numbers is 64. Two more than twice the larger number is five less than seven times the smaller. Find the numbers.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two numbers, x & y; (x the largest)
:
The sum of two numbers is 64.
x + y = 64
or
x = (64-y)
:
Two more than twice the larger number is five less than seven times the smaller.
2x + 2 = 7y - 5
2x = 7y - 5 - 2
2x = 7y - 7
:
Find the numbers.
:
Substitute (64-y) for x in the above equation
2(64-y) = 7y - 7
:
128 - 2y = 7y - 7
:
128 + 7 = 7y + 2y
:
135 = 9y
y =
y = 15
:
Find x:
x = 64 - 15
x = 49
:
:
Check solution in the statement:
"Two more than twice the larger number is five less than seven times the smaller."
2(49) + 2 = 7(15) - 5
98 + 2 = 105 - 5

RELATED QUESTIONS
the sum of two numbers is seven less than five times the smaller number. twice the larger (answered by Cromlix)

The larger of two numbers is 11 more than twice the smaller. The sum of the numbers is 1... (answered by gonzo)

The sum of two numbers is 23. the difference between three times the smaller and seven is (answered by nerdybill)

The sum of two number is seven less than five times the smaller number. Twice the larger... (answered by mananth)

the sum of two numbers is twenty-five. the larger number is seven less than four times... (answered by mananth)

The sum of two numbers is seven. Five less than five times the smaller is equal to the... (answered by ankor@dixie-net.com)

the sum of two numbers is seventeen. five times the smaller number is one more than twice (answered by mananth)

One number seven more than another number if the sum of twice the smaller number +3... (answered by hkwu)

The sum of two numbers is 25. The larger number is seven less than seven times the larger (answered by rfer)