Philip tells his mother that the secret number he is thinking of is divisible by 6 and tells his father that it is divisible by 3. If Philip is telling the truth to both of his parents, what is the smallest secret number that Philip could be thinking of?

I'm assuming the answer has to be whole, and there aren't any loopholes such as negative numbers.

It should be 6 because 6/6=1 and 6/3=2.

To check, go through smaller numbers than the one you found and divide.

Check:

5/6 = 0.84 - isn't whole

4/6 = 0.7 - isn't whole

3/6 = 0.5 - isn't whole

2/6 = 0.4 - isn't  whole

1/6 = 0.2 - Isn't whole*

Anyways, the answer is 6

*these are rounded to the nearest tenth*

a

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .