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Subtract 6 from me. Then multiply by 2. If you subtract 40 and then divide by 4, you get 8. What number am I?

User Sdive
by
5.5k points

1 Answer

3 votes

Answer:

42

Explanation:

Let the number be "x"

We translate the word equation to algebraic equation.

First,

subtract 6 from me, so we have:

x - 6

Now,

Multiply by 2, so we have:

2(x-6)

Now,

Subtract 40, then divide by 4:


(2(x-6)-40)/(4)

Now, you get "8", so equate this to 8, we get:


(2(x-6)-40)/(4)=8

We now solve using algebra:


(2(x-6)-40)/(4)=8\\2(x-6)-40=4*8\\2(x-6)-40=32\\2x-12-40=32\\2x-52=32\\2x=32+52\\2x=84\\x=42

The number is 42

User Ralhei
by
4.8k points