Coloured numbers

Mussel wrote four different natural numbers with coloured markers: red, blue, green and yellow. When the red number divides by blue, it gets the green number as an incomplete proportion, and yellow represents the remainder after this division. When it divides the blue number by green, its division comes out without a remainder, and the share is the yellow number. Mussel revealed that two of her four numbers are 97 and 101. Identify the other Mussel numbers and assign colours to each number. Find all the options.

Correct answer:

y =  97
g =  101
b =  9797
r =  989594
y1 =  101
g1 =  97
b1 =  9797
r1 =  950410

Step-by-step explanation:

97 ...  prime number 101 ...  prime number GCD(97,101)=1  d=GCD(97,101)=1 97 ...  prime number 101 ...  prime number LCM(97,101)=97101=9797  m=LCM(97,101)=9797  y=97
b=y g=97 101=9797
r=b g+y=9797 101+97=989594
b1=y1 g1=101 97=9797
r1=b1 g1+y1=9797 97+101=950410

We will be pleased if You send us any improvements to this math problem. Thank you!


Tips to related online calculators
Do you want to calculate least common multiple two or more numbers?
Do you want to calculate greatest common divisor two or more numbers?
Do you have a system of equations and looking for calculator system of linear equations?
Do you solve Diofant problems and looking for a calculator of Diofant integer equations?
Do you want to perform natural numbers division - find the quotient and remainder?

Related math problems and questions:

  • MO C–I–1 2018
    numbers An unknown number is divisible by just four numbers from the set {6, 15, 20, 21, 70}. Determine which ones.
  • Reminder and quotient
    prime There are given the number C = 281, D = 201. Find the highest natural number S so that the C:S, D:S are with the remainder of 1,
  • The tickets
    oriesky The tickets to the show cost some integer number greater than 1. Also, the sum of the price of the children's and adult tickets, as well as their product, was the power of the prime number. Find all possible ticket prices.
  • Four poplars
    topolcany Four poplars are growing along the way. The distances between them are 35 m, 14 m, and 91 m. At least how many poplars need to be dropped to create the same spacing between the trees? How many meters will it be?
  • 9.A
    exam 9.A to attend more than 20 students but fewer than 40 students. A third of the pupils wrote a math test to mark 1, the sixth to mark 2, the ninth to mark 3. No one gets mark 4. How many students of class 9.A wrote a test to mark 5?
  • Z9-I-4
    numbers Kate thought a five-digit integer. She wrote the sum of this number and its half at the first line to the workbook. On the second line wrote a total of this number and its one fifth. On the third row, she wrote a sum of this number and its one nines. Fina
  • Unknown integer
    cross Find the smallest integer: divided by 2, the remainder is 1. divided by 3, the remainder is 2. divided by 4, the remainder is 3. ... divided by eight, the remainder is 7, divided by 9 the remainder is 8.
  • Pyramid Z8–I–6
    pyramida_mo Each brick of pyramid contains one number. Whenever possible, the number in each brick is lowest common multiple of two numbers of bricks lying directly above it. That number may be in the lowest brick? Determine all possibilities.
  • There
    lopticky There are two numbers on the screen - one in the blue and the other in the red box. In the beginning, both numbers are the same. With each beep, both numbers increase - by 1 in the blue field and by 3 in the red field. At one point, the number 49 appears
  • Remainder
    numbers2 A is an arbitrary integer that gives remainder 1 in the division with 6. B is an arbitrary integer that gives remainder 2 the division by. What makes remainder in division by 3 product of numbers A x B ?
  • Reminder and quotient
    prime There are given numbers A = 135, B = 315. Find the smallest natural number R greater than 1 so that the proportions R:A, R:B are with the remainder 1.
  • On Children's
    bonbons On Children's Day, the organizers bought 252 chewing gums, 396 candies and 108 lollipops. They want to make as many of the same packages as possible. Advise them what to put in each package and how many packages they can make this way.
  • Lcm to eliminate y
    eq2_fx Identify the least common multiple that would eliminate the y-variable. 6x - 5y = -4 4x + 2y = 28
  • Tissues
    harmasan The store got three kinds of tissues - 132 children, 156 women and 204 men. Tissues each species were packed into boxes after the number of pieces the same for all three types (and greatest). Determine the number, if you know that every box has more than
  • Apples and pears
    hrusky2 Mom divided 24 apples and 15 pears to children. Each child received the same number of apples and pears - same number as his siblings. How many apples (j=?) and pears (h=?) received each child?
  • School
    ziaci Less than 500 pupils attend school. When it is sorted into pairs, one pupil remains. Similarly, when sorted into 3, 4, 5 and 6 members team one remains. Sorted to seven members teams, no left behind. How many pupils are attending this school?
  • Five-digit number
    numbers2 Anna thinks of a five-digit number that is not divisible by three or four. If he increments each digit by one, it gets a five-digit number that is divisible by three. If he reduces each digit by one, he gets a five-digit number divisible by four. If it sw