Question

when 4817 is divided by a certain positive number, the quotient is 4/3 times the divisor and the remainder is 17. find the number​

Answer 1

Answer:

Let assume the positive number is 'k'

Now according to the question,

⇒ 4817 = k × Quotient + Remainder

⇒ 4817 = k x (4/3) + 17 --- I (Substituting Quotient = 4/3 and Remainder = 17; Here the wording of the question has to be interpretated. When we divide a number with a remainder it can be represented as N = M×Q + R. Here N is the Number, M is the Divisor or the positive Number as mentioned in the question, Q is the quotient and R is the Remainder)

Now, from equation I

4817 = k×4/3 + 17

⇒ 4817 - 17 = k×4/3

⇒ 4800 = k×4/3

⇒ (4800 × 3)/4 = k

⇒ k = (4 × 1200 × 3)/4 (4 can be cancelled in both Numerator and Denominator as a common factor)

⇒ k = (1200 × 3)

⇒ k = 3600 (Ans)

Step-by-step explanation:

Answer 2

Answer:

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Step-by-step explanation:

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