A two digit number is four …
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Sia ? 6 years, 5 months ago
Let units digit and tens digit of the two digit number be 'x' and 'y' respectively.
{tex}\therefore{/tex} Number is 10y + x
According to question, The two digit number = 4 {tex}\times{/tex} The sum of the digits
{tex}\therefore{/tex}10y + x = 4(y + x)
10y + x = 4y + 4x
10y - 4y = 4x - x
6y = 3x
2y = x....(i)
Also, The two digit number = 3 {tex}\times{/tex} The produce of the digits
10y + x = 3xy......(ii)
From equation...(i) 2y=x
{tex}\therefore{/tex}10y + 2y = 3(2y)y
12y = 6y2
6y2 - 12y = 0
6y(y - 2) = 0
{tex}\therefore y=0 \quad or \quad y=2{/tex}
The number cannot be zero, {tex}\therefore{/tex} y=0 is not possible
{tex}\therefore y=2 \quad and \quad x=4{/tex}
{tex}\therefore{/tex} The required number is 24.
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