SOLUTION: two number has a sum of 125 and a difference of 25. What is the value of the bigger number

Algebra.Com
Question 922232: two number has a sum of 125 and a difference of 25. What is the value of the bigger number
Answer by tutoringisfun(17)   (Show Source): You can put this solution on YOUR website!
Good evening student. I hope this answer is helpful to you today.
1. from the problem we can deduce the following:
x+y=125
x-y=25
2. solve the second equation for y by:
a. adding y to both sides
x-y+y=25+y
the y's on the left cancel out leaving:
x=25+y
3. substitute the above equation into the original equation from the problem:

25+y+y=125
a. combine like terms on the left yields:
25+2y=125
b. to isolate y subtract 25 from each side leaving:
25-25+2y=125-25
c. simplify
the 25's on the left cancel out leaving:
2y=100

c. divide both sides by 2
2y/2=100\2
d. simplify
y=50
4. substitute the above value for y in the equation:
x+y=125
this gives us
x+50=125
5. subtract 50 from each side to isolate x leaving:
x+50-50=125-50
6. simplify:
x=75 Therefore, the bigger number is 75.
CHECK
plug both values into each equation and see if it is a true statement:
75+50=125
125=125
75-50=25
25=25


I hope this answer has been helpful to you. If you desire paid assistance in the future, you can contact via several websites:
Ask a Expert - Visit my Virtual Office at Presto Experts
www.instaedu.com
http://eduboard.com/prof/mary-barrett-4137.html
RELATED QUESTIONS

two number has a sum and difference of 85. What is the value of the bigger number (answered by Alan3354)
Sum of two numbers is three times the smaller number and the difference between them is... (answered by ptaylor)
The sum of a number and two times a smaller number is 62. Three times the bigger number... (answered by TimothyLamb)
what is the difference between twice a number and the sum of the number and... (answered by AnlytcPhil)
The sum of a number and two times a smaller number is 62. Three times the bigger number... (answered by TimothyLamb)
one number is 8 times bigger than the other. the difference between the two numbers is (answered by richwmiller)
the sum of two numbers is 417. the bigger number is double the smaller number. what is... (answered by Timnewman)
one number is bigger than the other number by10 and the sum of these two number is 6 (answered by Cromlix)
A number greater than 50 has two digits. The sum of those digits is 10 and the difference (answered by stanbon)