Question

A two- digit number is 1 more than 5 times the sum of its digits.If 9 is added to the number, its digits are reversed. Find the number.

please answer my question step by step.​

Answer 1

Answer:

Let the first digit be x

And second digit be y

- According to question

$\implies$10x + y = 5(x+y)

$\implies$10x + y = 5x + 5y

Therefore,

x = 4/5y. ......(1)

Now,

$\implies$10y + x + 9 = 10x + 9y

$\implies$9y - 9x = 9

y - x = 1. .......(2)

Putting value of x from (1) in (2) , we get

$\implies$ y - 4/5y = 1

$\implies$5y - 4y = 5

$\boxed{y = 5}$

☆ Therefore

x = 4/5 . 5

$\bigstar \large \red{x = 4}$

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Answer 2

Answer:

56 Answer

Refer to the attached image for answer