Find two consecutive odd integers such that thrice the smaller is 92 more than the larger
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Answer:

A = 47

B = 49

Step-by-step explanation:

Let the two consecutive odd integers be A and B

We know that B = A + 2, and that A is odd.

We are also told that

3A - 92= B

Use this last expression for B in the first equation:

B = A + 2

3A - 92 = A + 2

2A = 94

A = 47

B must therefore be 47 + 2 = 49

Check:

1)  A + 2 = B?  YES

2)  3A - 92= B?

    3*47 - 92 = 49?

      141 - 92 = 49   YES

3) Are they both odd consecutive integers?  YES

     

A = 47

B = 49

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