Question

if (2x+3):(5x+4) is the triplicate ratio of 3:4, find the square of x?

Answer 1

If(2x3):(5x+4) is the triplicate ratio of 3:4, find the square of x.

Answer 2

The square of x is 144.

Step-by-step explanation:

Given : If (2x+3):(5x+4) is the triplicate ratio of 3:4.

To find : The square of x?

Solution :

Since the triplicate ratio of $\frac{3}{4} = \frac{3^3}{4^3} = \frac{27}{64}$

According to the question,  

$\frac{2x+3}{5x+4}$  is the triplicate ratio of $\frac{3}{4}$,

i.e. $\frac{2x+3}{5x+4} = \frac{27}{64}$

$64(2x+3) = 27(5x+4)$

$128x+192 = 135x+108$

$128x-135x=108-192$

$-7x=-84$

$x = 12$

The square of x is $x^2= (12)^2 = 144$

Therefore,  the square of x is 144.

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