By what number should 1365 be divided to get 31 as question and32 as remainder
Answers
Answered by
0
Answer:
43
Step-by-step explanation:
Dividend = 1365
Quotient = 31
Remainder = 32
Divisor = ?
Let divisor be x
By the division algorithm,
Dividend = (Divisor × Quotient) + Remainder
1365 = (x × 31) + 32
1333 = x × 31
x = 43
Ans: 1365 must be divided by 43 to get quotient as 31 and remainder as 32.
Answered by
1
Given :-
- Dividend (a) = 1365
- Quotient (q) = 31
- Remainder (r) = 32
To find :-
- Divisor = ?
Solution :-
Let the divisor be b
we know that,
Dividend = Divisor × quotient + remainder
or,
Hence,1365 should be divided by 43 to get 31 as quotient and 32 as remainder.
More Information :-
Euclid's division algorithm :-
➝ If any two given positive integers a and b there exist unique whole numbers q and r such that,
- a = bq + r where 0 ≤ r < b.
- Dividend (a)
- divisor (b)
- quotient (q)
- remainder (r)
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