Differing 7391

The product of two numbers differing by four does not change when we decrease the larger number by two and increase the smaller number by one. What are the numbers?

Correct answer:

a =  6
b =  2

Step-by-step explanation:

a=b+4 ab = (a2)(b+1)  a (a4)=(a2) (a4+1)  a=6  a=16=6  a=6

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