FIND THE NUMBER WHICH WHEN DIVIDE BY 35 GIVES THE QUOTIENT 22 AND REMAINDER 14
Answers
The number is 784.
Given,
divisor, b = 35
quotient, q = 22
remainder, r = 14
To Find,
dividend, a=?
Solution,
The problem is to find the number that when divided by 35 gives the quotient 22 and the remainder 14.
We use the division algorithm to solve this problem.
In the arithmetic operation of division, items are divided into equal groups.
According to the division algorithm, if a number 'a' is divided by a number 'b', the quotient is 'q', and the remainder is 'r', then 'a' is equal to bq + r, where 0 ≤ r < b.
It's also referred to as "Euclid's division lemma."
The following mathematical relationship can be used to express the division algorithm in simple terms:
a = b × q + r
We can substitute the given set of values in the equation above to get the required number.
⇒ a = 35 × 22 + 14
⇒ a = 770 + 14
⇒ a = 784
Therefore, the required number is 784.
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