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 Subject: Consecutive integers Name: Evan Who are you: Student Twice the smaller of two consecutive integers is the larger increased by 5. find the integers.

Hi Evan,

Penny and Sue each responded to your question.

This is an exercise in reading a math question carefully.

You have two consecutive integers so if the smaller is n then the larger is n + 1. Now translate the statement into a mathematical equation.

Twice the smaller of two consecutive integers is the larger increased by 5.
Twice n is n + 1 increased by 5.
2 n is n + 1 + 5.
2 n = n + 1 + 5.

Solve for n.

Penny

Hi Evan.

You have two integers, call them a and b.
They are consecutive, so let's say b is larger. Then b = a + 1.

Twice the smaller (that's 2a) is (equals) the larger increased by five (b+5).

So 2a = b + 5. But b = a + 1 so put (a + 1) in place of each "b" and you get:

2a = (a + 1) + 5

Can you solve it now?

Stephen La Rocque.>

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