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The ratio of two numbers is 3:5. When 4 is subtracted from the lesser of the two numbers and 8 is added to the larger of the two, the new ratio is 2:7. What is the greater of th…
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The ratio of two numbers is 3:5. When 4 is subtracted from the lesser of the two numbers and 8 is added to the larger of the two, the new ratio is 2:7. What is the greater of th…
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Jan 25, 2017
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The ratio of two numbers is 3:5. When 4 is subtracted from the lesser of the two numbers and 8 is added to the larger of the two, the new ratio is 2:7. What is the greater of the two numbers before 8 is added to it?
Mathematics
middle-school
Mert Inan
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Mert Inan
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x and y
x:y=3:5
or
x/y=3/5
when 4 is subtracted from x and 8 is added to y new ratio is 2:7
(x-4)/(y+8)=2/7
we have
x/y=3/5
(x-4)/(y+8)=2/7
get rid o frationc
x/y=3/5
times both sides by 5y
5x=3y
(x-4)/(y+8)=2/7
times both sides by 7(y+8)
7(x-4)=2(y+8)
7x-28=2y+16
add 28 both sides
7x=44+2y
we have
5x=3y
and
7x=2y+44
multiply first equation by 2 and seecond equaiton by 3
10x=6y and 21x=6y+132
sub 10x for 6y
21x=10x+132
minus 10x both sides
11x=132
divide both sides by 11
x=12
x/y=3/5
12/y=3/5
times both sides by 5y
60=3y
divide both sid esyb 3
20=y
12 and 20
the greater is 20
Ansgri
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Jan 30, 2017
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Ansgri
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