Original 6497

Two numbers are in the ratio 5:6. If one number is smaller by seven and the other is larger by seven, there will be new numbers in the ratio 4:7. What is the original, and what are the changed numbers?

Correct answer:

a =  35
b =  42
c =  28
d =  49

Step-by-step explanation:

a=5/6 b a7=4/7 (b+7)  6a5b=0 7a4b=77  Pivot:Row1Row2 7a4b=77 6a5b=0  Row276 Row1Row2 7a4b=77 1.57b=66  b=1.5714285766=42 a=777+4b=777+4 42=35  a=35 b=42

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