Question

Ram and Rajesh have some balloons the ratio of their Balloons is 3:1 if Ram gives two balloon to Rajesh the ratio will be 2 :1 how many balloons does Ram have

Answer 1

Answer:

18 balloons

Step-by-step explanation:

Ram : Rajesh = 3 : 1

Define x:

Let x be the constant ratio

Ram : Rajesh = 3x : 1x

Form equation:

If Ram gives two balloon to Rajesh the ratio will be 2 :1

⇒ (3x - 2)/(x + 2) = 2/1

Solve x:

(3x - 2)/(x + 2) = 2/1

3x - 2 = 2(x + 2)

3x - 2 = 2x + 4

x = 6

Find the number of balloons Ram has:

Ram = 3x = 3(6) = 18

Answer: Ram has 18 balloons

Answer 2

Answer:

Step-by-step explanation:

Ram : Rajesh = 3 : 1

Define x:

Let x be the constant ratio

Ram : Rajesh = 3x : 1x

Form equation:

If Ram gives two balloon to Rajesh the ratio will be 2 :1

⇒ (3x - 2)/(x + 2) = 2/1

Solve x:

(3x - 2)/(x + 2) = 2/1

3x - 2 = 2(x + 2)

3x - 2 = 2x + 4

x = 6

Find the number of balloons Ram has:

Ram = 3x = 3(6) = 18

Answer: Ram has 18 balloons.