Find the 4 four numbers in a.p. whose sum is 50 and in which the greatest number is 4 times the least.
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the four numbers are in ap So the number are
a-3d,a-d,a+d,a+3d -1st equation
sum of the terms is 50
a-3d+a-d+a+d+a+3d=50
4a=50
a=50/4
a=12.5
a-3d=4(a+3d)
12.5-3d=50+12d
15d= -37.5
d = 37.5/15
d=2.5
the 4 numbers are -1st equation
5,10,15,20
a-3d,a-d,a+d,a+3d -1st equation
sum of the terms is 50
a-3d+a-d+a+d+a+3d=50
4a=50
a=50/4
a=12.5
a-3d=4(a+3d)
12.5-3d=50+12d
15d= -37.5
d = 37.5/15
d=2.5
the 4 numbers are -1st equation
5,10,15,20
VipulPatial:
thanks bro
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