Answer me question no.6

Solution:

Ans 6. Let the required numbers be a, b, c and d.
According to the question:
a + b + c + d = 45

Also,
a + 2 = b - 2 = c × 2 = d ÷2 = k 
(where k is a constant)
 
So, a = k - 2
b = k + 2
c = k ÷ 2
d = 2 × k

Hence, 
(k - 2) + (k + 2) + (k ÷ 2) + (2 × k) = 45
4k + ( k ÷ 2 ) = 45
9k ÷ 2 = 45
9k = 90
k = 10

Therefore,
a = 8, b = 12, c = 5, d = 20

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