£800 is divided between Natasha, Richard & Stephen so that Natasha gets twice as much as Richard, and Richard gets three times as much as Stephen. How much does Richard get?

Richard gets £240

Step-by-step explanation:

Let

Stephen's share = x

Richards share = 3x

Natasha's share = 2(3x)

Total money = £800

Total money = Stephen's share + Richards share + Natasha's share

800 = x + 3x + 2(3x)

800 = 4x + 6x

800 = 10x

Divide both sides by 10

x = 800 / 10

= 80

x = £80

Stephen's share = x = £80

Richards share = 3x

= 3(80)

= £240

Natasha's share = 2(3x)

= 2(240)

= £480

Richard gets £240

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.