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Popular Word Problems >

The sum of three consecutive numbers is 41 less than five times the largest number. Find the largest number.

Solution

T h e s u m o f t h ree co n sec u t i v e n u mb ers i s 41 l ess t han f i v e t im es t h e l a r g es t n u mb er . F in d t h e l a r g es t n u mb er .

Solution

The number : 19

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 1

Consecutive number 2 : x + 2

A.T.Q.:

x + x + 1 + x + 2 = 5 (x + 2) - 41

Solve

x + x + 1 + x + 2 = 5 (x + 2) - 41 : x = 17

x + 1 = 17 + 1 = 18

x + 2 = 17 + 2 = 19

The number : 19

Popular Examples

eight more than the quotient of a number and 5 is 6 six times the sum of a number and 5 equals 7 4 less than 8 times a number is at most 28. What are the possible values of the number Ann is 4 years older than Julie. 4 years ago Ann was twice as old as Julie. Find their present ages.84 is 12% of what number?