Let us assume the larger number = x Let us assume the smaller number = y Then x + y = 3 3/4 x + y = 15/4 And x/3 = (2y/3) + 1/2 x = [3 * (2y/3)] + (3/2) = 2y + (3/2) Now putting the value of x from the second equation to the first , we get x + y = 15/4 2y + (3/2) + y = 15/4 3y = (15/4) - (3/2) 3y = (15 - 6)/4 3y * 4 = 9 12y = 9 y = 9/12 = 3/4 Now putting the value of y in the first equation, we get x + y = 15/4 x + (3/4) = (15/4) x = (15/4) - (3/4) = (15 - 3)/4 = 12/4 = 3 So the value of x or the larger number is 3 and the value of y or the smaller number is 3/4.
