Digits

Show that if x, y, z are 3 consecutive nonzero digits, zyx-xyz = 198, where zyx and xyz are three-digit numbers created from x, y, z.

Correct answer:

a =  198

Step-by-step explanation:

a=zyxxyz a=100 (x+2)+10(x+1)+x(x 100+(x+1) 10+(x+2)) a=100x+200+10x+10+x100x10x10x2 a=200+10102=198



Did you find an error or inaccuracy? Feel free to write us. Thank you!






avatar




Related math problems and questions:

  • Rectangles
    rectangle The perimeter of a rectangle is 90 m. Divide it into three rectangles, the shorter side has all three rectangles the same, their longer sides are three consecutive natural numbers. What is the dimensions of each rectangle?
  • Consecutive numbers
    progression Sum of ten consecutive numbers is 105. Determine these numbers (write first and last).
  • Sum of the seventeen numbers
    seq_sum The sum of the 17 different natural numbers is 154. Determine the sum of the two largest ones.
  • Four-digit numbers
    numberline Find four-digit numbers where all the digits are different. For numbers, the sum of the third and fourth digits is twice the sum of the first two digits, and the sum of the first and fourth digits is equal to the sum of the second and third digits. The di
  • Three-digit numbers
    eq2 How many three-digit numbers are not closer to 600 on the number axis than to 400?
  • No. 215
    215_num From the number 215 we can create a four-digit number that among its numbers manually type any other digit. Thus, we created two four-digit numbers whose difference is 120. What two four-digit numbers that might be?
  • Three numbers
    dices2 We have three different non-zero digits. We will create all 3 digits numbers from them to use all 3 figures in each number. We add all the created numbers, and we get the sum of 1554. What were the numbers?
  • Two-digit number
    numbers Digit sum of thinking two-digit natural number is 11. When it exchanging a sequence of digits, given a number which is 27 less than the thinking number. Find out which number I think.
  • Sum of four numbers
    seq The sum of four consecutive natural numbers is 114. Find them.
  • Digit sum
    number_line The digit sum of the two-digit number is nine. When we turn figures and multiply by the original two-digit number, we get the number 2430. What is the original two-digit number?
  • Three digits number
    plot How many are three-digit integers such that they no digit repeats?
  • Geography tests
    test On three 150-point geography tests, you earned grades of 88%, 94%, and 90%. The final test is worth 250 points. What percent do you need on the final to earn 93% of the total points on all tests?
  • The sum 2
    seq The sum of five consecutive even integers is 150. Find the largest of the five integers. A.28 B.30 C.34 D.54 Show your solution and explain your answer.
  • Three digits number
    3digit From the numbers 1, 2, 3, 4, 5 create three-digit numbers that digits not repeat and number is divisible by 2. How many numbers are there?
  • Digits
    numbers How many five-digit numbers can be written from numbers 0.3,4, 5, 7 that is divided by 10, and if digits can be repeated?
  • Phone numbers
    old_phone How many 7-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated?
  • Arithmetic progression
    postupnost1 In some AP applies: 5a2 + 7a5 = 90 s3 = 12 Find the first member a =? and difference d = ?