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If the number in AP are such that their sum is 50 and the greatest number is 4 times the list then the number are
Asked by manjeet512.email.com | 08 Jul, 2019, 09:58: PM
Qusetion: If the number in AP are such that their sum is 50 and the greatest number is 4 times the list then the number are

Solution:

Let the four numbers be a , a + d, a + 2d and a + 3d

According to the 1st condition in the question, we get
a + a + d + a + 2d + a + 3d = 50
→ 4a + 6d = 50
→ 2a + 3d = 25   .... (1)
According to the 2nd condition in the question, we get
a + 3d = 4a
→ 3a = 3d
→   a = d
Substitute a = d in (1), we get
5d = 25
→ d = 5
→ a = 5

Therefore the four numbers are a= 5, a + d = 10, a + 2d=15 and a + 3d=20.
Answered by Yasmeen Khan | 09 Jul, 2019, 10:52: AM

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