Answer:
x = 47
y = 94
Step-by-step explanation:
Givens
Let the larger number = y Note: y must be even. Why is that?
Let the smaller number = x
Equations
x = 1/2 y
x + y = 141
Solution
Substitute x from the first equation into the second equation
1/2 y + y = 141
Change 1/2 y to 0.5y
0.5y + y = 141
Combine the left
1.5y = 141
Divide both sides by 1.5
1.5y/1.5 = 141/1.5
Do the division
y = 94 And y is even.
================
x = 1/2y
x = 1/2*94
x = 47
Check
The smaller number is 1/2 the larger one This is correct.
47 + 94 = 141 and this also checks.
Answer:
x = 47
y = 94
Step-by-step explanation:
We know that one number is half another number and the sum of these two numbers is 141. We are to find the numbers.
Assuming [tex]x[/tex] and [tex]y[/tex] to be the numbers, we can write it as:
[tex]x=\frac{1}{2}y [/tex] --- (1)
[tex]x+y=141[/tex] --- (2)
Substituting the value of [tex]x[/tex] from (1) into (2) to get:
[tex]\frac{1}{2}y+y=141[/tex]
[tex]\frac{3}{2}y+y=141[/tex]
[tex]y=141 \times \frac{2}{3}[/tex]
y = 94
Now substituting this value of [tex]y[/tex] in (1):
[tex]x=\frac{1}{2} \times 94 [/tex]
x = 47
Translating it in other words:
One number is double the other number and the sum of the two number is 141.
Checking answers:
[tex]x=\frac{1}{2}y [/tex]
[tex]47=\frac{1}{2} \times 94[/tex]
[tex]47=47 [/tex]
[tex]x+y=141[/tex]
[tex]47+94=141[/tex]
