Question

If 2a = 3b and 5b = 6c, then what is the value of a : b : c?

Answer 1

Answer:

a:b:c=9:6:5

Step-by-step explanation:

2a/3=6c/5

=>5a=9c....to satisfy this..,a=9  n  c=5..

similarly...,b=6

Answer 2

Answer:

Required value of a : b : c is 9:6:5.

Step-by-step explanation:

Given,

$2a = 3b....(1)$ and $5b = 6c.....(2)$

From relation (1),

$a = \frac{3b}{2}$

and from relation (2),

$c = \frac{5b}{6}$

Here we want to find a : b : c.

So,

$a : b : c \\ = \frac{3b}{2} :b: \frac{5b}{6} \\ = 3 \times 3b:6 \times b:5b \\ = 9b:6b:5b \\ = 9:6:5$

This is a problem of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Know more about Algebra,

1) https://brainly.in/question/13024124

2) https://brainly.in/question/1169549