Find the least number which when divided by 24 32 and 16 leaves the remainder 19 27 31 respectively
payelsaha1392:
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take LCM of 24,32,16 and then
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Lcm of 24,32,16 is 96
so no would be 96 k + L
As when L divided by 24,32,16 leaves remainder as given
further it's given difference between two is same that is 24-19= 5 , 32-27= 5
So if u divide L by 24,32,16 by taking quotient as -1 it should give 19,27,21 so just take L as -5 as negative because by taking -1 as,quotient it would give negative remainder
so no. is 96 k -5
take k as 1 for least
so 96-5
= 91
so no would be 96 k + L
As when L divided by 24,32,16 leaves remainder as given
further it's given difference between two is same that is 24-19= 5 , 32-27= 5
So if u divide L by 24,32,16 by taking quotient as -1 it should give 19,27,21 so just take L as -5 as negative because by taking -1 as,quotient it would give negative remainder
so no. is 96 k -5
take k as 1 for least
so 96-5
= 91
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