Question

the product of two positve number is 16/50 and their quotient is1/2.find the number​

Answer 1

Answer:

25/16 is the answer

Step-by-step explanation:

Answer 2

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Given:

The product of two positive number is 16/50 and quotient is 1/2

To find:

The numbers = ?

Solution:

Let a and b be the numbers

$\\ \\ a \times b = \dfrac{16}{50} - - - - (1) \\ \\ \dfrac{a}{b} = \dfrac{1}{2} - - - - (2) \\ \\ from \: (2) \\ \\ a = \dfrac{b}{2}$

$\\ \\ substituting \: value \: of \: a \: = \dfrac{b}{2} \: in \: \\ equation \: (1) \\ \\ a \times b = \dfrac{16}{50} \\ \\ \dfrac{b}{2} \times b = \dfrac{16}{50}$

$\\ \\ \dfrac{b {}^{2} }{2} = \dfrac{16}{50} \\ \\ b {}^{2} = \dfrac{16 \times 2}{50} \\ \\ b {}^{2} = \dfrac{32}{50}$

$\\ \\ b {}^{2} = 0.64 \\ \\ b = \sqrt{0.64} \\ \\ b = 0.8$

$\\ \\ substituting \: value \: of \: \: b \: \: in \: \: \\ \dfrac{a}{b} = \dfrac{1}{2} \\ \\ \dfrac{a}{0.8} = \dfrac{1}{2} \\ \\ a = \dfrac{0.8}{2}$

$\\ \\ a = 0.4$

Answer:

Therefore, The numbers are 0.4 and 0.8

Verification:

Let's substitute value of a and b in

a × b = 16/50

0.4 × 0.8 = 16/50

0.32 = 16/50

0.32 = 0.32

Hence, verified

Basic point:

Try to solve more such questions to get good hold on it