1998 AHSME Problem 4

Define [a, b, c] to mean (a+b)/c, where c is not equal to 0. What is the value of

[[60, 30, 90], [2, 1, 3], [10, 5, 15]] ?

2 1 1.5 .5

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2 solutions

Ajay Maheshwari
May 30, 2014

first we solve the each matrix which are in main matrix after that we got [1,1,1] in resultant matrix so now the answer we got 2 by add a+b and divided this by 1

Justin Wong
Mar 23, 2014

For all of the three small sets given, we note that a + b = c a+b=c . Hence, the value of each small set is c c = 1 \frac{c}{c}=1 . The value of the large set, which looks like [ 1 , 1 , 1 ] [1,1,1] , can then be evaluated as 1 + 1 1 = 2 \frac{1+1}{1}= 2

Easy

Mardokay Mosazghi - 7 years, 2 months ago

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