Question

I am a two digit number if you some me and the number obtained by reversing the digit is 176 the sum of my digit is 16 what number I am​

Answer 1

Answer:

The two digit number is 88.

Step-by-step explanation:

Let the 2-digit number be: 10x + y

If the digits are reversed the number is: 10y + x

Then the sum of theses two numbers is 176, i.e.

$10x+y+10y+x=176\\20x+2y=176\\10x+y=88...(i)$

The sum of the digits is:

$x+y=16...(ii)$

Solve (i) and (ii) simultaneously:

$10x+y=88\\x+y=16$

Subtract the two equations:

$9x=72\\x=8$

Substitute x = 8 in (ii) and solve for y as follows:

$x+y=16\\8+y=16\\y=8$

Thus, the number is:

$10x+y=(10\times8)+8=80+8=88$

Thus, the two digit number is 88.