The sum of two numbers is 22 . Three times one number increased by 5 is the same as twice the other number decreased by 4. What is the larger of the two numbers?

Solution

Solution

The largest number : 15

Solution steps

Represent the numbers with

x and y

number 1 : x

number 2 : y

A.T.Q.:

x + y = 22

3 x + 5 = 2 y - 4

x + y = 22, 3 x + 5 = 2 y - 4 : x = 7, y = 15

Select the largest solution:

15

The largest number : 15

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