SOLUTION: The sum of two numbers is 152. If four times the smaller number is subtracted from the larger number the result is 12. Find the two numbers.
Thank you in advance for your help!
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Question 141796This question is from textbook
: The sum of two numbers is 152. If four times the smaller number is subtracted from the larger number the result is 12. Find the two numbers.
Thank you in advance for your help!
This question is from textbook
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!
Okay, let "x"=smaller number, and
"y"= larger number
Also, x + y =152 right?
We get y =152-x ---------mark eqn 1
Now there's a condition, that four times the smaller number is subtracted from the larger one and the result is 12. To show,
y-4x = 12, ----------- mark eqn 2
We substitute "y" in eqn 1 to eqn 2:
152-x-4x=12
5x=152-12
x=28, the smaller number
For "y" go back eqn 1, y=152-28
y=124, the larger number
In doubt? we go back eqn 2,
124-(4)(28)=12
124-112=12
12=12, cool!
Thank you,
Jojo
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