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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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
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
