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TheNightKing
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TheNightKing
The average height of 40 students is 163 cm. On a particular day, three students A, B, C were absent and the average of the remaining 37 students was found to be 162 cm. If A, B have equal heights and the height of C be 2 cm less than that of A, find the height of A.
(a) 176 cm
(b) 166 cm
(c) 180 cm
(d) 186 cm
(e) None of these

difference because of three students = 162*3+40*1 = 526

x+x+(x-2) = 526

x = 528/3 = 176

Answer Option A
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Since the answers are far off from one another, this fact actually gives you an opportunity to skip the last step( in which you create an equation) and estimate. i.e

Total =1630×40=6520
Total after =162×37=5994
Total height of 3 students =6520 -5994= 526
526/3 =~175
Since the height distributed evenly among 3 students, you know that the value of a will be around 175
The only answer which is somewhat closer is A)
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