On dividing 456789 by a certain number, the quotient is 1952 and remainder is 21
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On dividing 456789 by a certain number, the quotient is 1952 and remainder is 21
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Answer:
The number will be 234.
Step-by-step explanation:
Dividend=Divisor*Quotient+Remaider
456789=x*1952+21
456789-21=x*1952
456768/1952=x
234=x
Therefore,x=234
Answer:
Divisor = 234.
Step-by-step explanation:
Given :- On dividing 456789 by a certain number, the quotient is 1952 and remainder is 21
To Find :- The number in the which 456789 is divided.
Solution :-
Let the number be x.
We know that,
Dividend = Divisor×Quotient + Remainder
Acc. to the question,
Dividend = 456789, Quotient = 1952 and Remainder = 21.
Putting the values in the given formula,
456789 = x × 1952 + 21
⇒ 456789 - 21 = 1952x
⇒ 456768 = 1952x
⇒ x = 456768 ÷ 1952
⇒ x = 234
Therefore, when 456789 is divided by 234, it gives quotient = 1952 and remainder = 21.
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