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n a maths test, students were asked to find 5/16 of a certain number.One of the students by mistake found 5/6th of that number and his answer was 200 more than the correct answer.Find the number.

Question

n a maths test, students were asked to find 5/16 of a certain number.One of the students by mistake found 5/6th of that number and his answer was 200 more than the correct answer.Find the number.

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Solution

Let's denote the certain number as x.

According to the problem, the student mistakenly found 5/6 of the number instead of 5/16. This incorrect answer was 200 more than the correct answer.

So, we can write this situation as an equation:

5/6 * x = 5/16 * x + 200

To solve for x, we first need to get rid of the fractions. We can do this by multiplying every term by the least common multiple (LCM) of 6 and 16, which is 48:

48 * 5/6 * x = 48 * 5/16 * x + 48 * 200

This simplifies to:

40x = 15x + 9600

Subtract 15x from both sides:

25x = 9600

Finally, divide both sides by 25 to solve for x:

x = 9600 / 25

x = 384

So, the certain number is 384.

This problem has been solved

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