Question

3. By what number should 1365 be divided to get 31 as quotient and 32 as
remainder?
find the number

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Answer 1

Answer:

43

Step-by-step explanation:

(1365-32)÷31

hope you are well in this pandamic situation

Answer 2

Given :-

• Dividend (a) = 1362

• Quotient (q) = 31

• Remainder (r) = 32

To find :-

• The number = ?

Solution :-

For any two integers given positive integers a and b there exist unique whole numbers q and r such that

we know that,

${\underline{\boxed{\bf\pink{Dividend=(divisor\times\: quotient)+remainder}}}}$

${\underline{\boxed{\bf\red{a=bq+r}}}}$ ,where 0 ≤ r < b

According to the above value,

$\rm\longrightarrow\:1365=b\times\:31+32$

$\rm\longrightarrow\:1365=31b+32$

$\rm\longrightarrow\:1365-32=31b$

$\rm\longrightarrow\:1333=31b$

$\rm\longrightarrow\:\cancel\dfrac{1333}{31}=b$

$\rm\longrightarrow\:43=b$

$\rm\longrightarrow\:b=43$

Hence,the number will be 43.