128 and 204
Step-by-step explanation (note, it is not the shortest way):
- if the initial value of the 1st number is 'x' and of the 2d number is 'y', then after decreasing their values is 0.8x and 0.85y. The phrase 'then the sum would be 68 less' means the sum after decreasing is 400-68=332.
- Using this it is possible to make up the system of two equations then resolve it:
- before decreasing x=160 and y=240. After decreasing x=160*0.8=128 and y=0.85*240=204.
The Answer is:
128 and 204
128 and 204. your welcome.
Let x = the first number
Let y = the second number
So we can set up two equations:
x+y = 400
.8x + .85y = 400-68
y = 400 - x
.8x + (.85)*(400-x) = 332
.8x + 340 -.85x = 332
8 = .05x
x = 160
So that makes y = 240
We want the decreased values so:
160*.8 = 128
240*.85 = 204
So the answers are 128 and 204
128 AND 204
The two numbers are .8*160=128 and .85*240=204
First sentence: x+y=400
Second sentence .8x+.85y=400-68
Solve y in the first sentence: y=400-x
Plug first into second: .8x+.85(400-x)=332
Combine like terms: -.05x+.85(400)=332
Simplify(multiply): -.05x+ 340=332
Subtract 340 on both sides: -.05x =332-340
Simplify(subtract): -.05x =-8
Divide both sides by -.05: x =-8/-.05
Simplify (division): x = 160
If it decreased by 20%, then 80% will be left and we will have 0.8x.
Second number is y.
If it decreased by 15%, then 85% will be left and we will have 0.85y.
Sum of x and y.
When x and y decreased, their sum is
0.8x+0.85y=400 - 68=332
We can write a system of equations.
To solve, we can use substitution
x=400 - y
320 - 0.8y + 0.85y =332
y = 240
x= 400-240= 160
0.8*(160) + 0.85*240=332
she will most likely have 33
exactly you go it