Question

a two digit numbers is 4 times the sum of its digits . If 18 is added to the number the digits are reversed . Find the number​

Answer 1

Find the number​

Answer is : 24

Step-by-step explanation:

Let us assume,

two digit number is $xy$ which can be represent as $xy=x \cdot 10+y$.

According to question,

$10x +y=4(x+y)$ --------(1)

And,

$10x+y+18=10y+x$-------(2)

On simplifying equation (1),

$10x+y=4x+4y$  $\Rightarrow 6x=3y$  $\Rightarrow 2x=y$

Putting value of y in equation (2),

$\\ 10x+2x+18=20x+x\\12x+18=21x \\ 9x=18 \\ x=2$

Hence, $y=4$. So, the number is $24$.

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