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The sum of two numbers is 32 and their difference is 4 what are the numbers

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Let the two unknown numbers be x and y

sum of x and y is 32

mathematically,

x + y = 32 .................. equation 1

the difference of x and y is 4

x - y = 4 ........................ equation 2

solve the two equations simultaneously

x + y = 32

x - y = 4

using substitution method

make x the subject in equation 1

x = 32 - y

substitute the value of x in equation 2

32 - y - y = 4

32 - 2y = 4

collect the like terms

-2y = 4 - 32

-2y = -28

divide both sides by -2

-2y/-2 = -28/-2

y = 14

to find x put the value of y into any of the equation

since x= 32 - y

x = 32 - 14

x = 18

the answer is x = 18 and y = 14

User Joozek
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