the smallest number which when divided by 20,25,35 and 40 leaves a remainder of 14,19,29 and 34 respectively, is _______
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the smallest number which when divided by 20,25,35 and 40 leaves a remainder of 14,19,29 and 34 respectively, is _______
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1394 is the answer.
First, take the LCM of 20, 25, 35 and 40 which comes out to be 1400.
Now,
14=20-6;
19=25-6;
29=35-6;
34=50-6;
So subtract common number 6 from 1400 which is 1400-6=1394
So the smallest number is 1394.
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