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?
Answers
Answer:
The answer is calculation
Step-by-step explanation:
let be the 2 digit no be 20
2 + 0 =2 *5 + 10
10 + 5 = 15 * 2 + 30
30/10 = 3 - 2 =1
Answer = 1
Given : 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.
To Find : Can you help Kriti to understand this magic?
Solution:
a two- digit number can be AB
where A can be any digit from 1 to 9
and B can be any Digit from 0 to 9
add the digits of the number and then multiply the sum by 5
= (A + B) 5
= 5(A + B)
add 5 to the product and multiply the result by 2.
= (5(A + B) + 5) * 2
= (5 (A + B + 1)( * 2
= 10 (A + B + 1)
divide the result by 10 and to subtract the sum of the digits from this number.
= (10 (A + B + 1) /10 ) - (A + B)
= A + B + 1 - A - B
= 1
Hence Result is always 1 independent of values of A and B
Thats why Sneha could tell kirti that result is 1.
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