Question

in an exam a student was asked to find 3/14 of a number instead he found 3/4 of a number his answer was greater than 150 more than the correct answer what is the number​

Answer 1

Answer:

280

Step-by-step explanation:

Let A be the certain number and B, the correct answer so,

3/14 x A = B

3/4 x A = B+150. We can substitute the value of B in the second equation with the value of B in the first equation.

3/4 x A = (3/14 x A) +150

Collect the like terms.

3A/4 - 3A/14 =150

HCF of 4 and 14 is 28

(21A - 6A)/28 = 150

15A/28 =150

15A= 150x28

A = (150x28)/15

A = 280

Therefore B = 3/14 x 280 = 60.

So the number is 280 because 3/4x 280 is 210 and that is 150 more than 60.