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The average of two numbers is 80. The difference between the two numbers is 16. Find the larger number.

Sagot :

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Step-by-step explanation:

x, y are the 2 numbers.

(x + y)/2 = 80 (average is 80)

x + y = 160

x = 160 - y

x - y = 16 (difference is 16)

using the first equation here gives us

(160 - y) - y = 16

160 - y - y = 16

160 - 2y = 16

144 - 2y = 0

144 = 2y

y = 144/2 = 72

x = 160 - y = 160 - 72 = 88

the larger number (x) is 88.

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