By what number should 1365 be divided to get 31 as quotient and 32 as remainder? With detail explanation?

Question

Answer

Answer is 43
LET THE DIVISOR BE X
DIVIDENT= DIVISOR× QUOTIENT+REMAINDER
SO,
1365=X ×31+32
1365-32=X×31
1333=X×31
X=1333÷31
X=43

Answer

Explanation:
To solve this problem, we can use the following formula:

Dividend = Divisor x Quotient + Remainder

We know that the dividend is 1365, the quotient is 31, and the remainder is 32. We can plug these values into the formula and solve for the divisor:

1365 = Divisor x 31 + 32

Simplifying this equation, we get:

Divisor x 31 = 1333

Divisor = 1333/31

Using long division, we get:

43

--

31 | 1333

- 1240

--

93

--

62

--

31

--

0

Therefore, the divisor is 43.

Answer:
1365 should be divided by 43 to get 31 as quotient and 32 as remainder.