Question

please solve this question​

Answer 1

Dividend = Divisor × Quotient + Remainder

= 48 × 7 + 32

= 336 + 32

= 368

Answer 2

Question:

Find the dividend. If the divisor is 48, quotient is 7 and the remainder is 32.

Answer:

Dividend = 368

Step-by-step explanation:

Given that,

Divisor [g(x)] = 48

Quotient [q(x)] = 7

Remainder [r(x)] = 32

To find,

Dividend [p(x)] = ?

As we know,

$\fbox{\bold{\mathsf{Dividend = Divisor \times Quotient + Remainder}}}$

This's called as Euclid's division lemma.

$\fbox{\bold{\mathsf{Euclid's\:division\:lemma}}}$

Euclid's division lemma states that, if any number let's say a is divided by another number let's say b, then the quotient and remainder will be a unique number where a = b $\times$ q + r but 0 ≤ r < b.

The Euclid's division lemma is,

$\fbox{\bold{\mathsf{a = b \times q + r}}}$

Where, $\fbox{\bold{\mathsf{0 \leq r < b}}}$

By using this lemma, we can find our dividend.

By using Euclid's division lemma,

Dividend = Divisor $\times$ Quotient + Remainder

Dividend = 48 $\times$ 7 + 32

Dividend = 336 + 32

$\fbox{\bold{\mathsf{Dividend = 368}}}$

Therefore, our dividend is 368.

But is this answer is correct? Let's find out.

Verification:

By using Euclid's division lemma,

Dividend = Divisor $\times$ Quotient + Remainder

368 = 48 $\times$ 7 + 32

368 = 336 + 32

368 = 368

$\fbox{\bold{\mathsf{L.H.S = R.H.S}}}$

Therefore, our dividend is 368.