Home » Past Questions » General Paper » The sum of digits of a two digit number is 13 and the units is 3 less than the t...

The sum of digits of a two digit number is 13 and the units is 3 less than the t...


Question

The sum of digits of a two digit number is 13 and the units is 3 less than the tens digit. What is the number?

Options

A) 47

B) 74

C) 58

D) 85

The correct answer is D.

Explanation:

If the digit is \(xy\), then
\(x+y=13\).......(i)
\(x-y=3\)........(ii)
Add (i) and (ii)
\(2x=16\)
\(x=\cfrac{16}{2}=8\)
\(8-y=3\)
\(y=8-3\)
\(y=5\)
The digit is \(85\)

More Past Questions:


Dicussion (1)

  • If the digit is \(xy\), then
    \(x+y=13\).......(i)
    \(x-y=3\)........(ii)
    Add (i) and (ii)
    \(2x=16\)
    \(x=\cfrac{16}{2}=8\)
    \(8-y=3\)
    \(y=8-3\)
    \(y=5\)
    The digit is \(85\)

    Reply
    Like