Question

3/5 of a number exceeds its 2/7 by 44. find the number.

Answer 1

Such questions can be easily solved by the concept of linear equations. Consider the unknown number to be a particular variable and then simplify the equation to get the required answer.

Here, let us consider the number to be 'x'.
So, according to the given question,
(3/5)x  =  (2/7)x + 44
(3/5 - 2/7) x = 44
Taking LCM,
(21/35 - 10/35) x = 44
(11/35) x = 44
x = ( 44 * 35 ) / 11
x = 4 * 35
x = 140

Thus, 140 is the required answer.

Answer 2

X*(3/5-2/7)=44
X*(21-10)/35=44
X*11/35=44
X*11=44*35
X=44*35/11
X=4*35
X=140