You can
put this solution on YOUR website!Let one number be x, and the other number be y.
x and y
Their sum = 34
x + y = 34
Their difference = 10
x - y = 10
A little angel told me, the answer is 22 and 12!
We have a pair of simultaneous equations and will solve these using substitution.
x + y = 34 (1)
x - y = 10 (2)
Rearrange (2):
x - y = 10
x = 10 + y (3)
Substitute (3) into (1)
x + y = 34
(10 + y) + y =34
10 + y + y = 34
2y = 24
y =12 (4)
Substitute (4) into (3)
x = 10 + y
x = 10 + 12 = 22
Hence the two numbers are 12, and 22.
You can
put this solution on YOUR website!Use x and y because we do not know the value of either number.
(x)+(y)=34 because the "sum" means to add.
(x)-(y)=10 because the "difference" means to subtract.
.
Solve using either the substitution or addition method for solving systems of linear equations:
.
-(x+y=34)
+(x-y=10)
_________
.
.
-x-y=-34
+x-y=+10
_________
0-2y=-24
.
.
Solve for y:
-2y=-24
-y=-24/2
y=12
.
.
Plug y=12 back into the original equations and solve for x:
x+y=34
x+12=34
x+12-12=34-12
x=22
.
x-y=10
x-12=10
x-12+12=10+12
x=22
.
.
Checking that x=22 and y=12:
22+12=34
22-12=10
The values check out.
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