The greater of two consecutive integers is 15 more than twice the lesser. Find the greater integer.

Question

Help me!?!!!

Answer 1

Here's what we know:

b = a + 1 (consecutive means next to each other)

b = 2a + 15

 

Since b equals both equations, both equations equal one another:

a + 1 = 2a + 15

1 = a + 15

-14 = a

Now to solve for b:

b = -14 + 1

b = -13

Now to check:

-13 = 2 * -14 + 15

-13 = -28 + 15

-13 = -13

 

Yeah, this problem tried to trick you by making you think it would be positive integers, when in fact negative numbers can be integers as well.