Question

Mukul was said to multiplied a number by 8/9 but he divided by 8/9 and the result was 34 more than the actual result . Find the number​

Answer 1

Given Data:

Mukul was said to multiplied a number by 8/9 but he divided by 8/9 and the result was 34 more than the actual result

To Find:

the number

Solution:

The equation according to the question are

let the number said by mukul be 'x'

and the number answer for mukul question be 'y'

$x \div \frac{8}{9} = y - 34$------(i)

$x - y = - 34 \times \frac{8}{9}$

$x - y = \frac{ - 272}{9}$

$x = \frac{9y - 272}{9}$----------(ii)

substitute (ii) in (i)

$( \frac{9y - 272}{9}) \div \frac{8}{9} = y - 3$

$\frac{9y - 272}{9} = \frac{8y - 24}{9}$

$9y - 272 = \frac{8y - 24}{9} \times 9$

$9y - 272 = 8y - 24 \\ 9y - 8y = 272 - 24$

$y = 248$--------------(iii)

substituting (iii) in (i)

$x \div \frac{8}{9} = 248 - 34$

$x \div \frac{8}{9} = 214$

$x = 214 \times \frac{8}{9}$

$x = \frac{1712}{9}$

therefore, the number said by Mukul is

$\frac{1712}{9}$