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
