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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?

 Feb 27, 2021
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x     x + 7      and   x - 8     are the three numbers  (given)

sum to 67

 

x   +   x+7   +   x-8 = 67

x = 22 2/3      and     29  2/3    and   14  2/3

 Feb 27, 2021
edited by ElectricPavlov  Feb 27, 2021

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