A Student was asked to multiply a number by 3/2 but he divided that number by 3/2. His result was 10 less than the original answer. The number was:15101220
Question
A Student was asked to multiply a number by 3/2 but he divided that number by 3/2. His result was 10 less than the original answer. The number was:15101220
Solution
Let's denote the number as x.
According to the problem, the student was supposed to multiply the number by 3/2, so the correct result should be (3/2)x.
However, the student divided the number by 3/2 instead, which gives the result as (2/3)x.
The problem states that the student's result was 10 less than the correct result. So, we can set up the following equation:
(3/2)x - 10 = (2/3)x
To solve for x, first we can get rid of the fractions by multiplying the entire equation by 6. This gives:
9x - 60 = 4x
Subtract 4x from both sides to get:
5x = 60
Finally, divide both sides by 5 to solve for x:
x = 60/5 = 12
So, the original number was 12.
Similar Questions
A student erroneously multiplied a number by 2/5 instead of 5/2.What is the percentage error in the calculation?
A boy was asked to multiply a number by 23. He instead multiplied the number by 32 and got the answer 144 more than the correct answer. The number to be multiplied was :a.17b.16c.14d.15
A boy was asked to multiply a certain number by 25. He multiplied it by 52 and got his answer more than the correct one by 324.The number to be multiplied was
Jacob likes playing math games with his father. His father wrote a mystery number and said, I will get 3.3 when I divide the mystery number by 3.How many tenths are there in this mystery number?
A boy was asked to multiply a number by 25 but by mistake he multiplied by 45 and the answer was 200 more than the correct answer. What was the number?78910
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.