Question

Five numbers whose sum is 50 are in AP .if the 5th number is 3 times the 2nd number .find the number

Answer 1

Let the numbers of the AP be

a-2d,a-d,a,a+d,a+2d

according to the first condition

(a-2d)+(a-d)+a+(a+d),(a+2d)=50

5a=50

a=50/5

a=10

According to the second condition

a+2d=3(a-d)

a+2d=3a-3d

5d=2a

d=2*10/5

d=4

therefore the numbers are :

2,6,10,14 and 18

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