Question

2. A number when divided by 61 gives 27 as quotient and 32 as remainder. Find the number.​

Answer 1

We know, Dividend = Divisor × Quotient + Remainder

Given: Divisor = 61, Quotient = 27, Remainder = 32

Let the Dividend be x. ∴ x = 61 × 27 + 32 = 1679

Hence, the required number is 1679.

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Answer 2

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☞ Other Number is 1679

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$\huge\sf\blue{Given}$

✭ A Number when Divided by 61 gives 27 as a quotient and 32 as a Remainder.

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◈ The other Number?

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So now,As Per the Euclid's Division Lemma

$\underline{\boxed{\sf A = B(Q)+R}}$

Where,

$\quad$◕ A = Divided

$\quad$◕ B = Divisor

$\quad$◕ Q = Quotient

$\quad$◕ R = Remainder

So on substituting the given values,

➝ $\sf A = 61(27)+32$

➝ $\sf A = 1647+32$

➝ $\sf\orange{A = 1679}$

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