Question

1.When a number is subtracted from the number 8,12 and 20, the remainders are in
continued proportion, Find the number?
a. 4 b. 3 c. 2 d. 8 e. 6

WHO WILL ANS 1st
Will mark​

Answer 1

Answer:

• x = 4, a). option is correct.

Explanation:

Given:

• When a no. is subtracted from the number 8, 12 and 20, the remainders are in continued proportion.

To Find:

• The number.

Let the number be 'x'.

Now, according to question,

=> (8 - x)/(12 - x) = (12 - x)/(20 - x)

=> 160 - 8x - 20x + x² = 144 - 12x - 12x + x²

=> 160 - 28x + x² = 144 - 24x + x²

=> 160 - 144 = 28x - 24x

=> 16 = 4x

=> x = 16/4

=> x = 4

Hence, x = 4, a). option is correct.