Question

A number consists of two digits whose product is 56 and on interchanging digits the result exceeds the original number by 34. Find such number.

Answer 1

Step-by-step explanation:

Let the 1st digit be x&2nd be y.

$x + y = 56 \\ x - y = 34 \\ 2x = 90 \\ x = 90 \div 2 \\ x = 45 \\ putting \: the \: value \: of \: x \: in \: eqn1 \\ x + y = 56 \\ 45 + y = 56 \\ y = 56 - 45 \\ y = 11$