SOLUTION: Here is a problem that I can't seem to translate: ah! help! :)
Q70: The difference of two numbers is 16. Three-fourths of the larger number is 14 larger than one-half of th
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Question 53380This question is from textbook Elementary and Intermediate Algebra
: Here is a problem that I can't seem to translate: ah! help! :)
Q70: The difference of two numbers is 16. Three-fourths of the larger number is 14 larger than one-half of the smaller number. Find the numbers.
This question is from textbook Elementary and Intermediate Algebra
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The difference of two numbers is 16. Three-fourths of the larger number is 14 larger than one-half of the smaller number. Find the numbers.
:
The two numbers are x & y
:
"The difference of two numbers is 16." can be written;
x - y = 16
:
"Three-fourths of the larger number is 14 larger than one-half of the smaller number."
.75x = 14 + .5y
:
Rearrange the 1st equation:
x - y = 16
x = (y+16)
:
Substitute (y+16) for x in the 2nd equation:
.75(y+16) = 14 + .5y
:
.75y + 12 = 14 + .5y
:
.75y - .5y = 14 - 12
:
.25y = 2
:
y = 2/.25
:
y = 8
:
Find x: x = 8 + 16
:
x = 24
:
:
Check solutions; x = 24 and y = 8 in the 2nd equations:
.75(24) = 14 + .5(8)
18 = 14 + 4
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