Question

While solving a problem on the blackboard.,a teacher by mistake divides a number by 7/5 instead of multiplying it by 7/5. The difference between the correct answer and the answer got by teacher is 288. Find the number​

Answer 1

Answer:

The number is 420

Step-by-step explanation:

Let us assume the no. we have to find is x.

We are given the difference between correct answer and incorrect answer ie. 288

So, we can say correct answer is

$x \times \frac{7}{5}$

Incorrect answer will be

$x \times \frac{5}{7}$

According to statement we can say,

$x \times \frac{7}{5} - x \times \frac{5}{7} = 288 \\ \frac{7x}{5} - \frac{5x}{7} = 288 \\ \frac{49x - 25x}{35} = 288 \\ \frac{24x}{35} = 288 \\ x = \frac{288 \times 35}{24} \\ x = 420$