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 39⁄40 = 439/40
b =  2 31⁄40 = 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 a−b=d a+b=13.75 a−b=8.2  a+b=13.75 a−b=8.2  Row2−Row1→Row2 a+b=13.75 −2b=−5.55  b=−2−5.55​=2.775 a=13.75−b=13.75−2.775=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​=a−b=10.975−2.775=541​=851​=8.2

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