Question

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subtract ½ from a number and multiply the result by ½, you get 1/8 what is the number?



Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.


Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers?​

Answer 1

Let us consider the number be x

As per the given condition

If we subtract 1/2 from a number and multiply the result by 1/2, then we get 1/8.

So the equation becomes

⇒ (1/2)(x – 1/2) = (1/8)

⇒ (x – 1/2) = (1/4)

⇒ 4x – 2 = 1

⇒ 4x = 3

Hence x = 3/4

Therefore 3/4 is the number from which if we subtract 1/2 from a number and multiply the result by 1/2, we get 1/8.

Answer 2

Answer:

QUESTION 1

Let the number be x.

According to the question,

(x – 1/2) × ½ = 1/8

x/2 – ¼ = 1/8

x/2 = 1/8 + ¼

x/2 = 1/8 + 2/8

x/2 = (1+ 2)/8

x/2 = 3/8

x = (3/8) × 2

x = ¾

QUESTION 2

Let one of the numbers be= x.

Then, the other number becomes x + 15 According to the question,

x + x + 15 = 95

⇒ 2x + 15 = 95

⇒ 2x = 95 – 15

⇒ 2x = 80

⇒ x = 80/2

⇒ x = 40

First number = x = 40

And, other number = x + 15 = 40 + 15 = 55

QUESTION 3

Let the two numbers be 5x and 3x. According to the question,

5x – 3x = 18

⇒ 2x = 18

⇒ x = 18/2

⇒ x = 19

Thus,

The numbers are 5x = 5 × 9 = 45

And 3x = 3 × 9 = 27.

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