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ICSE Class 7 Answered

Find the smallest number which when divided by 14, 21 and 35 leaves remainder 12, 19 and 33?
Asked by samhitha.ahoratra | 17 Sep, 2018, 06:52: PM
answered-by-expert Expert Answer
 
14 = 2 × 7
21 = 3 × 7
35 = 5 × 7
LCM(14, 21, 35) = 7 × 2 × 3 × 5 = 210
when divided by 14, 21 and 35 leaves remainder 12, 19 and 33.
means 2 less than the divisor.
Hence the smallest number = 210 - 2 = 208
Answered by Yasmeen Khan | 18 Sep, 2018, 11:09: AM
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