Question

The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and denominator is increased by 1, then the fraction becomes Find the fraction in thed

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Answer 1

Answer:

Let’s assume the numerator of the fraction to be x and the denominator of the fraction to be y.

So, the required fraction is x/ y

From the question it’s given as,

The numerator of the fraction is 4 less the denominator.

Thus, the equation so formed is

, x = y – 4

⇒ x – y = −4 …… (i)

And also it’s given in the question as,

If the numerator is decreased by 2 and denominator is increased by 1, then the denominator is 8 times the numerator.

Putting the above condition in an equation,

we get

y + 1 = 8(x-2)

⇒ y + 1 = 8x – 16

⇒ 8x – y = 1 + 16

⇒ 8x – y = 17 …… (ii) Solving (i) and (ii), Subtracting the equation (ii) from (i),

we get

(x – y) – (8x – y) = – 4 – 17

⇒ x – y − 8x + y = −21

⇒ −7x = −21

⇒ x = 21 /7

⇒ x = 3

Substituting the value of x = 3 in the equation (i),

we find y

3 – y = – 4

⇒ y = 3 + 4

⇒ y = 7

Therefore, the fraction is 3/ 7

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Answer 2

There are three numbers of resistors having values of 30 ohm, 40 ohm and 50 ohm connected in parallel. What resistance must be connected in series with the parallel

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