4 years ago

Two-fifths time a plus a over 2 equals a minus 2

Mathematics

1 answer:

Fynjy0 [20]4 years ago

7 0

Two-fifths time a plus a over 2 equals a minus 2 will be a=20

<u>Step-by-step explanation:</u>

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

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