the sum of three numbers is 62. the second number is equal to the first number diminished by 4. the third number is four times the first. what are the numbers? which three expressions could be used to represent the numbers?
Accepted Solution
A:
Answer: The numbers are 11, 7, and 44. I couldn’t give you the expressions because I didn’t know if that was multiple choiceStep-by-step explanation:Right out what you know3 numbers=62For this we will let the first number equal x, kinda a place holder until we get the answer.2nd=X-43rd=4xNow to make clear what you are adding together1st number: x2nd number: x-43rd number:4xThe sum to all 3 numbers:62The equation:x+x-4+4x=62Combine like terms6x-4=62Add four to both sides to get rid of the four6x=66Divide both sides by 6 to get x by itselfx=11Now take 11 and plug it back into the beginning information we had.1st number=112nd number=11-4=73rd number=11 times 4= 44All 3 numbers=62Check your work11+7+44=6218+44=6262=62As you can see the numbers are correct.