Jasung Jasung
  • 23-05-2020
  • Mathematics
contestada

Find the ratio of a:b givin that a+b/a−b = 3/2

Respuesta :

jimrgrant1 jimrgrant1
  • 23-05-2020

Answer:

a : b = 5 : 1

Step-by-step explanation:

Given

[tex]\frac{a+b}{a-b}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )

3(a - b) = 2(a + b) ← distribute parenthesis on both sides

3a - 3b = 2a + 2b ( subtract 2a from both sides )

a - 3b = 2b ( add 3b to both sides )

a = 5b ( divide both sides by b)

[tex]\frac{a}{b}[/tex] = 5, thus

a : b = 5 : 1

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