Question

Sneha did a math magic with her friend Kriti. She asked her to think of a two-

digit number. Then she asked her to add the digits of the number and then

multiply the sum by 5. She asked her to add 5 to the product and multiply the

result by 2. Then she asked her to divide the result by 10 and to subtract the sum

of the digits from this number. Sneha told Kriti that number left is 1. Kriti is

amazed. Can you help Kriti to understand this magic?​

Answer 1

Step-by-step explanation:

Let the digits of the number be x and y.

According to what Sneha told, the equation is:

[2{5(x+y) + 5}] /10 - (x+y) = 1

or, [2{5x+5y+5}] /10 - (x+y) = 1

or, (10x+10y+10) /10 - (x+y) = 1

or, (10x+10y+10) /10 - 10(x+y) /10 = 1

or, (10x+10y+10) /10 - (10x+10y) /10 = 1

or, (10x+10y+10-10x-10y) /10 = 1

or, 10x+10y+10-10x-10y = 1×10

or, 10x-10x+10y-10y+10 = 10

or, 10 = 10

Hope it helps. Please mark me as the brainliest! :)