If a certain number is divided by the sum of its two digits, the quotient is $7$ and the remainder is $3$. If the digits are reversed and the resulting number is divided by the sum of the digits, the quotient is $3$ and remainder is $7$. Find the number.
My Attempt:
Let the number be $10x+y$.
According to question:
$$\dfrac {10x+y}{x+y}=??$$.
I could not get how to make the equation using quotient and remainder. Please help.
Best Answer
HINT:$$10x+y=7(x+y)+3=7x+7y+3$$ and $$10y+x=3(x+y)+7=3x+3y+7$$ Can you proceed now?