Two-fifths time a plus a over 2 equals a minus 2 will be a=20
Explanation:
We have to find a, by first writing the verbal expression into an arithmetic form as,
Two fifths times a = (2/5)a
a over 2 = a/2
a minus 2 = a-2
(2/5)a + (a/2) = a-2
We have to take LCM on LHS as 10.
(2×2 /5×2)a + (a×5 /2×5) = a-2
(4a/10) + (5a/10) = a-2
Moving 10 to the other side, we will get,
4a+ 5a = 10(a-2)
9a = 10a -20
Grouping terms we will get,
10a - 9a = 20
a = 20