Question

if the sum of two numbers is divided by 13, the quotient is 4 and the remainder 8. if the difference of the same numbers is divided by 4, the quotient is 3 and the remainder 2. find the numbers.

Answer 1

Dividend=(divisor$\times$ quotient)+remainder

Let the two no. be $x$ and $y$

$(x+y)=(13\times 4)+8=60$

$(x-y)=(4\times 3)+2=14$

Solving above two equations we get,

$x=37$ and $y=23$

Hence two no. are $37$ and $23$.