Line segment

Cut a line segment of 15 cm into two line segments so that their lengths are in ratio 2:1. What length will each have?

Correct answer:

a =  10 cm
b =  5 cm

Step-by-step explanation:


a+b = 15
a = 2b

a+b = 15
a = 2•b

a+b = 15
a-2b = 0

a = 10
b = 5

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
Check out our ratio calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

Related math problems and questions:

  • Line segment
    lines The 4 cm long line segment is enlarged in the ratio of 5/2. How many centimeters will measure the new line segment?
  • Line segment
    lines_parallel_crossing Line segment AB is 8 cm long. Divide it in a ratio of 2: 3.
  • Segments
    segments Line segments 62 cm and 2.2 dm long we divide into equal parts which lengths in centimeters is expressed integer. How many ways can we divide?
  • Divide in ratio
    lines Line segment AB 12 cm long divide in a ratio of 5: 3. How long are the individual parts?
  • A rope
    meter A rope can be cut into equal length with no rope left over. The lengths can be 15cm,18cm or 25cm. What is the shortest possible length of the rope?
  • What scale
    map3 What scale is the map drawn if it shows a 15km route from the station to the ruins with a line 30cm long? A) 1: 2000 B) 1: 5000 C) 1: 20,000 D) 1: 50,000
  • Map 2
    world_map_atlas At what scale is made map if the distance 8.2 km corresponds on the map segment 5 cm long?
  • Stairs
    schosy Between adjacent levels are 15 stairs. If the step were 1.2 cm shorter, there would be 16 stairs. What is the stair height?
  • The scale
    map The distance of 15 cm on the map corresponds to a distance of 27 km in reality. What is the scale of the map?
  • Cuboid face diagonals
    face_diagonals_1 The lengths of the cuboid edges are in the ratio 1: 2: 3. Will the lengths of its diagonals be the same ratio? The cuboid has dimensions of 5 cm, 10 cm, and 15 cm. Calculate the size of the wall diagonals of this cuboid.
  • Ratio of sides 2
    square The ratio of the side lengths of one square to another is 1:2. Find the ratio of the area of the two squares.
  • Cuboid
    kvader11 The sum of the lengths of the three edges of the cuboid that originate from one vertex is 210 cm. Edge length ratio is 7: 5: 3. Calculate the length of the edges.
  • Wooden block
    cuboid_3colors A cuboid-shaped wooden block has 6 cm length, 4 cm breadth, and 1 cm height. Two faces measuring 4 cm x 1 cm are colored in black. Two faces measuring 6 cm x 1 cm are colored in red. Two faces measuring 6 cm x 4 cm are colored in green. The block is divid
  • Gear
    ozubene_kolesa Two gears, fit into each other, has transfer 2:3. Centres of gears are spaced 82 cm. What are the radii of the gears?
  • MG=7x-15,
    segment MG=7x-15, FG=33, x=? Point M is the midpoint of FG. Find unknown x.
  • Ages
    age2 John, Teresa, Daniel and Paul have summary 56 years. Their ages are in a ratio of 1:2:5:6. Determine how many years have each of them.
  • Sides od triangle
    podobnost Sides of the triangle ABC has length 4 cm, 5 cm and 7 cm. Construct triangle A'B'C' that are similar to triangle ABC which has a circumference of 12 cm.