SEARCH HOME
Math CentralQuandaries & Queries

search

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 x n is n + 1 + 5.
2 x 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.>

About Math Central
 

 


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS