(Show workings) two thirds of the sum a number and five is the same as one quarter of the difference between five times the number and three.find the number.
Let x = the number
2/3 (x + 5) = 1/4 (5x - 3)
2/3x + 10/3 = 5/4x - 3/4
2/3x - 5/4x = -3/4 - 10/3
-1/12x = -13/4
x = 13/4 x 12
x = 39
The bot messes up near the end, can't add fractions ...
my way:
2/3 (x + 5) = 1/4 (5x - 3)
times 12
8(x+5) = 3(5x-3)
8x + 40 = 15x - 9
49 = 7x
x = 7