3 consecutive multiples of 11

HOME

Math Central

Quandaries & Queries

Question from Nisha a student:

using the multiples formula shown at your site how can we solve finding 3 consecutive multiples of 11 whose sum is 363

Hi Nisha,

Can you tell me on which of our pages you found the "multiples formula".

Penny

Nisha wrote back:

It said multiples of a number a are a, a+x , a +2x etc

These numbers are consecutive multiples of 11, for example $2 \times 11, 3 \times 11$ and $4 \times 11.$

Suppose the smallest of your 3 consecutive multiples of 11 is $a \times 11.$ What is the next multiple of 11? and the next? The sum of the three is 363. Solve for $a.$

Make sure you verify your answer,
Penny

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.