Question

A student had multiplied a number by 4/3 instead of dividing it by 4/3 and got 70 more than the correct answer. Find the number.

Answer 1

Step-by-step explanation:

Let the number we want to find be 'x'.the student was supposed to multiply this number by 4/5.

So the correct answer should be (4*x)/5

But he accidentally divides the number by 4/5.

Now we know that dividing by a fraction a/b, (where a and b are not equal to 0) is equivalent to multipying by the inverse of the fraction, i.e multiplying by b/a.

So the student essentially multiplied the number by 5/4.

Now this value, you say, is 36 more than the correct answer. We are now ready to form our equation.

36 + correct answer = wrong answer

i.e 36 + (4x/5) = (5x/4)

i.e 36 + 0.8x = 1.25x

i.e 36 = 1.25x - 0.8x

i.e 0.45x = 36

i.e x = 36/0.45

Thus our mystery number is revealed, to be

x = 80

Answer 2

Answer:

To find: Find the number.

Given: 4/3, a number that is multiplied by another number instead of dividing

solution: 120

Step-by-step explanation:

A student had multiplied a number by 4/3 instead of dividing it by 4/3 and got 70 more than the correct answer

We will take a number as x

The student had to find x/4 = 3x/4

If the number is x, then we get the next equation:

4/3x = 3/4x + 70,

(4/3 - 3/4)x = 70,

7/12x = 70,

x = 70×12/7 = 120.

Therefore, The number x is 120, hence the number which was multliplied instead of division is 120.

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