when 65/2 is decreased by the quotient of a rational number and 3/10, the result is the rational number itself, find the number?
Answers
Answered by
2
Answer:
wait I am doing your answer and you can have a look at the attached file of my resume and you can have a look at the attached
Answered by
3
Step-by-step explanation:
Let the rational number be x. The quotient after dividing the number x by 3/10 is x / (3/10), which is 10∗x/3
10∗x/3 .
Subtracting this quotient from 65 / 2 is giving back the same rational number, which is x, therefore, we have
65/2−(10∗x)/365/2−(10∗x)/3 = x, this leads to
195 - 20*x = 6x,
which is nothing but
195 = 26*x and therefore x = 195/26195/26 , which is [math] 15 / 2 [/math].
The quotient of 15 / 2 divided by 3/10 is 25 and when you reduce 65/2 by 15/2, you get 25 and thus the answer 15/2 is verified, which is the required number!
Similar questions