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
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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
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