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 t as quotient.

Let y be quotient when t is divided by 5

According to the Question,

By Division algorithm which states that

Dividend =  Divisor × Quotient + Remainder

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

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

y = 9 × 1 + 7

⇒ y = 16

put value of y in (2),

t = 5 × 16 + 2

t = 82

Now, Put value of t in (1)

x = 4 × 82 + 3

x = 331

Therefore, The number is 331.

Answer 2

Answer:

331

Step-by-step explanation:

331 becuase the answer was in google