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What are five natural numbers that equal 460 |
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Answer» Answer: MATHS If 460 is divided by a NATURAL number, quotient is 6 more than five times the divisor and remainder is 1. Find quotient and divisor December 20, 2019avatar Ashi Chandrasekaran SHARE ANSWER Let the Divisor be X. Then the Quotient = 5X+6 DIVIDEND = 460 Remainder = 1 We know that, Dividend = Divisor × Quotient + Remainder 460 = X × (5X+6) + 1 460 = 5X²+6X+1 5X²+6X-459 = 0 5X²+51X-45X-459 = 0 X(5X+51)-9(5X+51) = 0 (X-45) (5X+51)= 0 (X-9)= 0 OR(5X-51) = 0 (X-9) = 0 X = 9 Divisor = X = 9 And, Quotient = 5X +6 = 5 × 9 + 6 = 51. |
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