ICSE Class 7 Answered

<div>Sir can you tell me the answer of the question?</div> <div>what is the least numberthat must be added to 2000 so that the sum is exactly divisible by 10,12,16and18</div> <div>please explain the method.</div>

Asked by Madhuri | 19 Jul, 2014, 09:48: PM

Expert Answer

Let n be the number:
n + 2000 = m
the factor of 10 are 5 x 2, so m must have these numbers as factors
the factor of 12 are 3 x 2 x 2 so m must have these numbers as factors
the factor of 16 are 2 x 2 x 2 x 2 so m must have these numbers as factors
the factor of 18 are 3 x 3 x 2 so m must have these numbers as factors

m must have as factors at least:
16 x 3 x 3 x 5 = 720

2 x 720 is less than 2000
3 x 720 = 2160

2160-2000=160

n = 160

Answered by Dharma Teja | 21 Jul, 2014, 09:38: AM