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15 votes
15 votes
Two number have a sum of 178 and a difference of 64. What are the numbers?

User Jean Le Moignan
by
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1 Answer

12 votes
12 votes

Answer:

121 and 57

Explanation:

let the 2 numbers be x and y with x > y , then

x + y = 178 → (1)

x - y = 64 → (2)

add (1) and (2) term by term to eliminate y

2x + 0 = 242

2x = 242 ( divide both sides by 2 )

x = 121

substitute x = 121 into (1) and solve for y

121 + y = 178 ( subtract 121 from both sides )

y = 57

the 2 numbers are 121 and 57

User Simon Doppler
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2.4k points