Solving Word Problems With Equations Of One Degree And One Unknown Worksheet With Answers Page 14

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-x=+5
x=-5
Are there two consecutive odd integers whose sum equals 174? (HINT: Assume that
3.
there are and try to find them.)
Let x=integer#1, hence x+2=integer#2
x+x+2=174
2x+2=174
2x=174-2
2x=172
x=86
No, because the first number must be equal to 86 which is even.
AGE PROBLEMS
1. Doreen is 5 years younger than her brother is and three years ago the sum of their
ages was 23 years. How old is each now?
Let x=Doreen’s age
Now
Then
Doreen’s
X
x-3
her brother
x+5
x+5-3
Sum then
x-3+x+5-3=23
solve for 2x=24
x=12
her brother=12+5=17
2. Linda’s mother is three times as old as Linda and 14 years from now she will be twice
as old as Linda was then. How old is each now?
Linda’s age now=x
Now
Then
Linda
X
x+14
Her mother
3x
3x+14
3x+14=2(x+14)
solve for x
x=14
her mother =3(14)=42
14

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