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Popular Word Problems >

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

Solution

t h e d i ff ere n ce b e tw ee n tw o n u mb ers i s 9. F in d t h e n u mb ers i f t h e i r s u m i s 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?