Question

three numbers are in the ratio 1 is to 2 is to 4 and their product is 512 then the numbers are​

Answer 1

Step-by-step explanation:

1:2:4 is the ratio

let 1a×2a×4a=512( given)

8a^3=512

a^3=512/8

a^3= 64

a =3√64

a=4

Answer 2

Hey

here AKASHITEMHEAVEN

GiveN:-

Numbers are in the ratio 1: 2: 4 their product is 512.

To FinD:-

The numbers.

SolutioN:-

Let the nos be x, 2x, 4x.

Product = 512.

According to the question,

$\large\implies{\sf{x\times2x\times4x=512}}$

$\large\implies{\sf{8x^3=512}}$

$\large\implies{\sf{x^3=\dfrac{512}{8}}}$

$\large\implies{\sf{x^3=\dfrac{\cancel{512}}{\cancel{8}}}}$

$\large\implies{\sf{x^3=64}}$

$\large\implies{\sf{x=\sqrt[3]{64}}}$

$\large\therefore\boxed{\bf{x=4.}}$

The numbers are:-

x = 4

2x = 2 × 4 = 8

4x = 4 × 4 = 16

VerificatioN:-

$\large\implies{\sf{4\times8\times16=512}}$

$\large\implies{\sf{512=512}}$

$\large\therefore\boxed{\bf{LHS=RHS.}}$

Hence verified.

Hence verified.The three numbers are 4, 8 and 16.