Three numbers

Find three numbers so that the second number is 4 times greater than the first and the third is lower by 5 than the second number. Their sum is 67.

Correct answer:

a =  8
b =  32
c =  27

Step-by-step explanation:


b = 4a
c = b - 5
a+b+c=67

b = 4•a
c = b - 5
a+b+c=67

4a-b = 0
b-c = 5
a+b+c = 67

a = 8
b = 32
c = 27

Our linear equations calculator calculates it.



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






avatar




Tips to related online calculators
Do you have a system of equations and looking for calculator system of linear equations?

Related math problems and questions:

  • Three numbers
    trojuhelnikova_cisla What are three numbers that have the property: the sum of the first and second numbers' reciprocals is 12/7, the first and third 11/24, and the second and the third 3/8.
  • QuizQ2
    debil_z_tv The square of the first number is equal to three-fifths of the second number. Determine both numbers if you know that the second number is 5 times greater than the first, and neither of numbers is not equal to zero.
  • Addends
    two Number 118 divide into two addends, so first addend is 69 greater than 75% of the second addend.
  • Sum of three numbers
    bulb2 The sum of three numbers from which second number is 20% smaller than the first number and the third number is 25% smaller than the second number is 96. Determine this numbers.
  • Two unknown numbers
    numbers One number is 2 less than a second number. Twice the second number is 14 less than 5 times the first. Find the two numbers.
  • PIN code
    pin PIN on Michael credit card is a four-digit number. Michael told this to his friend: • It is a prime number - that is, a number greater than 1, which is only divisible by number one and by itself. • The first digit is larger than the second. • The second d
  • Addends
    1plus1 Number 839 divide into the two addends that the first was 17 greater than 60% of the second. Determine these addends.
  • Four numbers
    equilateral_triangle The first number is 50% second, the second number is 40% third, the third number is 20% of the fourth. The sum is 396. What are the numbers?
  • Three friends
    pizza Divide 570 euros to three friends so that first will get 50 euros less than the second and third twice more than the first. How many euros will get everyone?
  • Scouts
    icons Three scouts went on a three day trip. The second day went 4 km more than the first day. The third day went two times less than the first day. They went along 54 km. How many kilometers went every day together?
  • 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
  • Stamps and albums
    stamp Michail has in three albums stored 170 stamps. In the first album, there are 14 more than in the second and in the second is by 1/5 less than in the third. How many stamps are in the first album?
  • Select
    expr Select the statement that describes this expression: 5 x (3 + 4) - 4. a) 5 times the sum of 3 and 4, then subtract 4 b) 5 times 3 plus 4 minus 4 c) 5 more than the sum of 3 and 4, and then subtract 4 d) 5 times 3 plus the difference of 3 and 4 What is the
  • Four integers
    tiles2 Fnd four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two.
  • Three workers
    3workers The company rewarded three workers CZK 9200, and the money was divided by the work they have done. The first worker to get twice than the second, the second three times more than the third. How much money did each worker receive?
  • Bags
    kufor The first bag has a weight of 18 kg, the second bag is a one-third lighter than the first and the third bag has three times less the weight of all three bags together. Determine their weights.
  • Gasoline
    kanyster 35 l of gasoline is to be divided into four canisters so that in the third canister was 5 l less than the first canister, the fourth canister 10 l more than in the third canister and the second canister half what in the first canister. How many liters of