Math, asked by lokeshraja104, 5 months ago

A number when divided by a certain divisor leaves a remahyder
5. Also 8 times the number and 12 times the number when
divided by the same divisor leaves remainders 6 and 9
respectively. The divisor is​

Answers

Answered by ItzDinu
3

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5. Let q1 be quotient of first division and q2 be the quotient of second division, d be the divisor and let original number be num.

The 2 equations formed are:

1) num=d*q1+27

2)2*num=d*q2+3

Multiplying equation-1 by 2 and equating the equations gives us

=> d*q2+3 = 2dq1+54

Shifting the d term on one side and numbers on the other

=> d*q2-2*q1 = 51

Taking d common from the left side

=> d(q2-2q1) = 51

=> d = 51/q2-2*q1

So ,

d can either be 51 or one of its factor(17 or 3)

Since,

We have a reminder of 27 in one case d cannot be less than 27

So ,

divisor is 51

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