The sum of two numbers is 47. The greater number is 9 more than the smaller number. Which equation can be used to solve for the smaller number?
x + (x + 9) = 47
x − (x + 9) = 47
x(x + 9) = 47
x(x − 9) = 47
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mhanifa:
Let the smaller number is x, then the greater number is...
mhanifa:
Then you add up the two numbers
mhanifa:
Can you do that?
alexgame:
hmmm
alexgame:
so you add 47 and 9
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mhanifa:
47 is the sum of the two numbers
alexgame:
yes and
alexgame:
it could be any numbers
mhanifa:
If your smaller number is x then your greater number is 9 more than x, what would it be?
alexgame:
so the number has to be smaller than 9 right
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SmokeyBrown:
@mhanifa wrote:
If your smaller number is x then your greater number is 9 more than x, what would it be?
(In terms of x, what is the bigger number? Remember, the greater number is 9 more than the smaller number, x)
alexgame:
i don't understand what you mean by greater number is 9 and smaller number x
mhanifa:
Let the smaller number is s and the greater number is g and their sum is 47. How would you write that?
SmokeyBrown:
mhanifa is saying that we can let "x" be the smaller number. Then, we know the bigger number is 9 more than x. So, how do we represent something being 9 more than x?
alexgame:
s + g =47
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mhanifa:
@alexgame wrote:
s + g =47
Very good.
Now, if g is 9 more than s, how would you write that?
alexgame:
9s + g = 47
alexgame:
ohh nooo
alexgame:
s + 9g = 47
mhanifa:
@alexgame wrote:
s + 9g = 47
9g means 9 times, but you need 9 more
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mhanifa:
You should have:
g = s + ...
alexgame:
g = s + 9
mhanifa:
@alexgame wrote:
g = s + 9
Excellent.
So you have two numbers: s and s +9, their sum is 47
Consider changing s with x after, this will give you a required answer
alexgame:
so x + (x + 9) = 47
mhanifa:
@alexgame wrote:
so x + (x + 9) = 47
Congrats, you have the correct one.
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