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Popular Word Problems >

Fine the largest of two consecutive even integers such that three times the larger added to the smaller is 54

Solution

F in e t h e l a r g es t o f tw o co n sec u t i v e e v e n in t e g ers s u c h t ha t t h ree t im es t h e l a r g er a dd e d t o t h e s ma ll er i s 54

Solution

The numbers : 12, 14

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

3 (x + 2) + x = 54

Solve

3 (x + 2) + x = 54 : x = 12

x + 2 = 12 + 2 = 14

The numbers : 12, 14

Popular Examples

The sum of three consecutive odd integers is 75 . Find the value of the middle of the three.The sum of 5 consecutive even numbers is 310.What is the third number in this sequence?91 is 10% of what number?Twice the difference of a number and 3 is 7 The sum of three numbers is 12 . The third is 6 more than 8 times the second. 7 times the first is 8 less than 6 times the second. Find the numbers.