Question

an integer is divided by 4 and gives a remainder of 3.the resulting quotient is divided by 5 and gives a remainder of 2.The resulting quotient is then divided by 9 giving a quotient of 1 and a remainder of 7 find the number

Answer 1

Answer:

The number is 331.

Step-by-step explanation:

let x be the first no divided by 4 and give tas

quotient.

Let y be quotient when t is divided by 5

According to the Question,

By Division algorithm which states that

Dividend = Divisor x Quotient + Remainder

x = 4t + 3....................(1)

t = 5y + 2.....................(2)

y = 9 x 1+7

- y = 16

put value of y in (2),

t= 5 x 16 + 2

t = 82

Now, Put value of t in (1)

x = 4 x 82 + 3

X = 331