sum of two numbers is 80 and their difference is 50 find the number
Answers
Answer:
The sum of x and y is 50. In other words, x plus y equals 50 and can be written as equation A:
x + y = 50
The difference between x and y is 80. In other words, x minus y equals 80 and can be written as equation B:
x - y = 80
Now solve equation B for x to get the revised equation B:
x - y = 80
x = 80 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 50
80 + y + y = 50
80 + 2y = 50
2y = -30
y = -15
Now we know y is -15. Which means that we can substitute y for -15 in equation A and solve for x:
x + y = 50
x + -15 = 50
X = 65
Summary: The sum of two numbers is 50 and their difference is 80. What are the two numbers? Answer: 65 and -15 as proven here:
Sum: 65 + -15 = 50
Difference: 65 - -15 = 80
Answer:
let the numbers = x and y
x+y= 80
x-y=50
y=50+xthen substitute this in above equation
x+50+x=80
2x=80-50
2x=30
x=15
substitute this in x+y=80
15+y=80
y=80-15
y=65
65+15=80
65-15=50