Question

Of the four no. the average of the 1st 3 is 30 and of the last three is 32. If the last number is 38, find the 1st number​

Answer 1

Answer:

33

Step-by-step explanation:

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Let the numbers be : a,b,c,d

(a+b+c)/3 = 30

a + b + c = 90 .....(1)

b + c + d = 3*32 = 96 .....(2)

(1) + (2) :

• a + 2(b+c) + d = 96 + 90
• a + 2(b+c) + 39 = 186
• a + 2(b+c) = 147
• a+b+c +(b+c) = 147 [from 1]
• 90 + (90-a) = 147 [from 1]
• 180 - 147 = a
• a = 33