The sum 31

The sum of two fractions is 13 3/4. Their difference is 8 1/5. What are fractions?

Correct answer:

a =  10 3940 = 439/40
b =  2 3140 = 111/40

Step-by-step explanation:

s=1343=13+43=413 4+3=452+3=455=1343=13.75 d=851=8+51=58 5+1=540+1=541=851=8.2  a+b=s ab=d a+b=13.75 ab=8.2  a+b=13.75 ab=8.2  Row2Row1Row2 a+b=13.75 2b=5.55  b=25.55=2.775 a=13.75b=13.752.775=10.975=40439=104039  a=40439=10.975 b=40111=2.775
b=2.775=40111=24031   Verifying Solution:   s2=a+b=10.975+2.775=455=1343=13.75 d2=ab=10.9752.775=541=851=8.2

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