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The sum of three different numbers is 67. The two larger numbers differ by 7 and the two smaller numbers differ by 8. What is the value of the largest number?

 Sep 1, 2021
 #1
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a + b + c ==67,

a - b ==7,

b - c ==8, solve for a, b, c

 

Use elimination to get:

 

a = 89/3   and   b = 68/3 and   c = 44/3

 Sep 1, 2021

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