I think of a number, n. ALex think of a number. that is 11 more than twice my number. If the sum of our numbers is 5, find Alex'
s numbers.
1 answer:
Let your number be X. Alex's number will be your number, plus 2x, plus 11. (x+2x+11) = 5.
From there we will have x+2x, which is 3x. So now we have 3x+11 = 5.
Subtract 11 from both sides, leaving us with 3x = -6.
From there we need to divide both sides by 3. Leaving us with x = -2.
Now that we know your number (-2), we can find Alex's number.
So from the word problem, we know that Alex's number is 11 more than twice your number. (2*-2+11) = 5.
So we have 2 times -2, which is -4. -4 plus 11 is 7.
To check our answer we need to add both of these two numbers together and see if they equal 5.
So 7-2 (or -2+7) will be 5. Confirming Alex's number to be 7.
From there we will have x+2x, which is 3x. So now we have 3x+11 = 5.
Subtract 11 from both sides, leaving us with 3x = -6.
From there we need to divide both sides by 3. Leaving us with x = -2.
Now that we know your number (-2), we can find Alex's number.
So from the word problem, we know that Alex's number is 11 more than twice your number. (2*-2+11) = 5.
So we have 2 times -2, which is -4. -4 plus 11 is 7.
To check our answer we need to add both of these two numbers together and see if they equal 5.
So 7-2 (or -2+7) will be 5. Confirming Alex's number to be 7.
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