Here is a fraction: x over blank (x/ )
The denominator of the fraction is 5 more than the numerator.
If 1 is added to the numerator and 2 is subtracted from the denominator, the fraction will become 4/5. Find the fraction.
need the answer explained

Chris241197
x+1/x+5 =4/5 solve this equation
Explained, if demon is 5 more : x/x+5
then add one and subtract 2 : x+1/x+5

clio_h
numerator: x
denominator: 5 more than x: x+5
current fraction: x/x+5
add 1 to the numerator: x + 1
subtract 2 from the denominator: x+5 2 (which is x+3 because 52=3)
so the fraction is now x+1/x+3
the question says that this new fraction is equal to 4/5
so x+1/x+3 = 4/5
cross multiply across the equal sign: (x+1)(5) = (x+3)(4)
multiply out: 5x+5 = 4x+12
bring xs to the left and numbers to the right: 5x4x = 125
x=7
now we know that x=7, so we can sub 7 into the original fraction given in the first two lines of the question: x/x+5
Sub in 7 anywhere that there is an x: 7/7+5
=7/12 is the fraction!

Amy.gallagher
This is a simultaneous equationa father and his son have a combined age of 52.8 years ago the father was 8 times the sons age .write and equation in x and y

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