Take a 2 digit number, divide it by 2, then multiply the result by 4, then subtract your original number from the result.
Is it the number you chose from the start?
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let the number be 14
divide it by 2 =7
multiply by 4=28
subtract the original number=28-14=14
hence the answer is YES.
PLEASE UPVOTE IF SATISFIED
@uttkarsh kohli You should not pick a particular number. You should provide a proof that is true for all 2-digit integers.
@uttkarsh kohli Well ,are you really 20?
Don't you have more good question
Let the 2 -digit number be a b
According to the problem, the full expression is:
2 a b × 4 − a b = a b × 2 − a b = a b ( 2 − 1 ) = a b
Hence, a b is the number we chose.
Any 2 digit no. is written as, 10x+y.
so, (10x+y)(4/2) = 20x+2y
(20x+2y)-(10x+y)= 10x+y (Original No.)
let a no be y... y/2.4=2x..then..2x-x=x..
Let the number be 18. Now if I divide by 2 it will be ( 18 /2=9). As per problem 9*4=36. Then subtract the number 18 from 36. It will be ( 36-18=18) e.g the starting number 18.
The fact that it is 2-digits is irrelevant and is intended to throw us off (x/2)•4 - x =2x - x = x
This works for any number: (x/2)*4=2x, 2x-x=x
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Let the number be x
(x/2 .4) - x = 2x - x = x