Question

if 1/6 is subtracted from a rational number and the difference is multiplied by 5, the result is twice the given rational number. I find the rational number.​

Answer 1

Answer:

Solution:

We know that:

If 1/2 is subtracted from a number and the difference is multiplied by 4, the result is 5.

Now:

Let the number be 'x'.

According to the question:

When 1/2 is subtracted from x which will give (x - 1/2) and the difference is multiplied with 4[x - 1/2]*4 to give 5.

Now:

[x - 1/2] * 4 = 5

4x - 1/2 * 4 = 5

4x - 2 = 5

4x = 5 + 2

4x = 7

x = 7/4

Therefore:

When 1/2 is subtracted from 7/4 and the difference is multiplied by 4, the result is 5.

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Step-by-step explanation: