Question

X:(x+4)=3:5
work out the value of x

Answer 1

x = 6

Explanation:

given

x : x + 4 = 3 : 5

express the ratio in fractional form , that is

`(x)/(x+4)` =
`(3)/(5)` ( cross- multiply )

5x = 3(x + 4) ← distribute parenthesis by 3

5x = 3x + 12 ( subtract 3x from both sides )

5x - 3x = 3x - 3x + 12 ( simplify both sides )

2x = 12 ( divide both sides by 2 )

`(2)/(2)` x =
`(12)/(2)` , that is

x = 6