Question

if ( x +8) : 2 (x+16) is the duplicate ratio of 5:8 then find x

Answer 1

Answer:

Step-by-step explanation:

X+8/2x+32=(5/8)^2

X+8/2x+32= 25/64

64(x+8)= (2x+32)25

64x+512= 50x+800

14x = 800-512

14x= 288

×=144/7

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Answer 2

Answer:

Value of x is 144 / 7 .

Step-by-step explanation:

We know that the duplicate ratio of any ratio is its square.

So, duplicate ratio of 5 : 8 should be its square.

Now,

= >  Duplicate ratio of 5 : 8 = ( 5 : 8 )^2

= >  Duplicate ratio of 5 : 8 =  25 : 64

According to the question : -

Duplicate ratio of 5 : 8 is ( x + 8 ) : 2( x + 16 )

So, comparing the duplicate ratios of 5 : 8 .

Now,

= >  25 : 64 = ( x + 8 ) : 2( x + 16 )

= >  25 x 2( x + 16 ) = 64( x + 8 )

= >  50x + 800 = 64x +  512

= >  800 - 512 = 64x - 50x

= >  288 = 14 x

= >  288 / 14 = x

= >  144 / 7 = x