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Popular >

the difference between two numbers is 9. Find the numbers if their sum is 46

Solution

the difference between two numbers is 9. Find the numbers if their sum is 46

Solution

The numbers : 27 \frac{1}{2}, 18 \frac{1}{2}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = 9

x + y = 46

x - y = 9, x + y = 46 : x = \frac{55}{2}, y = \frac{37}{2}

Convert improper fractions to mixed numbers:

\frac{55}{2} = 27 \frac{1}{2}

Convert improper fractions to mixed numbers:

\frac{37}{2} = 18 \frac{1}{2}

The numbers : 27 \frac{1}{2}, 18 \frac{1}{2}

Popular Examples

Four consecutive integers sum to 74 Three increased by twice a number is at least-7 Find two consecutive whole numbers that lies sqrt(44) between.Three times a number is at most nine.Twice the greater integer of two consecutive odd integers is 13 less than three times the lesser integer. What are the integers in ascending order?