Three-digit number and reverse the digits

Assignment Help Algebra

Reference no: EM13118449

The amazing Amber.

Amber has been amazing her friends with a math trick. Amber has a friend select a three-digit number and reverse the digits. The friend then finds the difference of the two numbers and reads the first two digits of the difference (from left to right). Amber can always tell the last digit of the difference. Explain how Amber does this.

Hint:

Let's say Amber's friend picks the number abc that is: a*100 + b*10 + c.

Reversing the digits will be cba that is c*100 + b * 10 +a

The difference of the two numbers is xyz that is x*100 + y*10+z

Start with finding the difference of the two numbers abc-cba based on the above assumptions and set that equal xyz . That is:

xyz = abc-cba

Reference no: EM13118449

Questions Cloud

Probability to obtain exactly two successes-bernoulli trials : You conduct 8 Bernoulli trials for which the probability of success is 0.85. What is the probability that you will obtain exactly two successes?

Determining inverse function and logarithm : Explain what an inverse function is and how you can determine when an inverse function will exist. What procedure is available to determine if two functions are inverses of each other? Explain its use and give an example.

Compute the probability an applicant''s gpa will be below : Probability distribution. The high school GPA of applicants for admission to a college program are recorded and relative frequencies are calculated for the categories.

Calculate the energy of an cl-f bond : The standard molar enthalpy of formation of ClF3 is -405 kJ. 1/2 Cl2(g) + 3/2 F2(g) → ClF3(g)

Three-digit number and reverse the digits : Amber has been amazing her friends with a math trick. Amber has a friend select a three-digit number and reverse the digits. The friend then finds the difference of the two numbers and reads the first two digits of the difference

Find probability that members are significantly overweight : A membership drive in a metropolitan area resulted in 500 new members. What is the probability that 175 or more of the new members are significantly overweight?

Calculate the ratio of the electrophoretic mobilities : Consider two DNA molecules: one 400 base pairs long, the other 800 base pairs long. Assuming that each is a rigid rod of diameter 25 Å, with a length of 3.4 Å per base pai.

What is the probability with a standard deviation : The mean of the sales is 141.1 with a standard deviation of 13.62. What is the probability that he will not be able to sell 160 or more widgets in the next year?

Find maximum monthly mortgage loan payment : No more than 36% of the monthly gross income. what is the maximum monthly mortgage loan payment for which shawn can be approved?

User Account

All Pages