The Odd Consecutive Numbers

Algebra Level 1

Two consecutive odd numbers are such that three times the first is 5 more than twice the second. What are those two odd numbers?

5 and 7 7 and 9 9 and 11 1 and 2

Prabhav Kumar by Prabhav Kumar , 20, Thailand

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2 solutions

Abhishek Singh
May 23, 2014

Let the first number be x. Since the numbers are consecutive, therefore the second number must be x+2.

It is given that... 3 times the first number = 5 + 2 times the second number

3 * x = 2 * (x+2) + 5

3x = 2x + 4 + 5

3x - 2x = 4 + 5

x = 9

Therefore numbers must be X=9, x+2=11

3 Helpful 0 Interesting 0 Brilliant 0 Confused

x = f i r s t n u m b e r , x + 2 = s e c o n d n u m b e r x=first~number, x+2=second~number

then

3 x = 5 + 2 ( x + 2 ) 3x=5+2(x+2)

3 x − 2 x = 9 3x-2x=9

x = 9 x=9

It follows that

x + 2 = 11 x+2=11

The numbers are 9 9 and 11 11 .

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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