Question

On subtracting 3/4 from a number and multiplying the dulifference by 5/6 gets -5/12. what is the number​

Answer 1

Let 'x' be the number

then, according to the given condition;

$(x - \frac{3}{4} )( \frac{5}{6} ) = \frac{ - 5}{12} \\ \: \: \: \: \: \: \: \: \: \: x - \frac{3}{4} = ( \frac{ - 5}{12} )( \frac{6}{5} ) \\ \: \: \: \: \: \: \: \: \: \: x - \frac{3}{4} = \frac{ - 1}{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{ - 1 \times 2}{2 \times 2} + \frac{3}{4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{ - 1}{4}$

Hence, the number is -¼.

Answer 2

Answer:

Let the no. be x.

According to the ques,

(x-3/4)*5/6 = -5/12

[(4x-3)/4] * 5/6 = -5/12

4x-3 = -2

4x = 1

x = 1/4.

So, the answer is 1/4.