SOLUTION: Two numbers sum to 49.
Twice the first subtracted from the second is 7. Find the numbers.
Algebra.Com
Question 1141946: Two numbers sum to 49.
Twice the first subtracted from the second is 7. Find the numbers.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
a is the first number.
b is the second number.
a + b = 49
b - 2a = 7
solve for b in the second equation to get b = 2a + 7
replace b with 2a + 7 in the first equation to get a + 2a + 7 = 49
combine like terms to get 3a + 7 = 49
subtract 7 from both sides of the equation to get 3a = 42
solve for a to get a = 14
since a + b = 49, then b must be equal to 35.
a + b = 49 becomes 14 + 35 = 49 which becomes 49 = 49 which is true.
b - 2a = 7 becomes 35 - 2 * 14 = 7 which becomes 35 - 28 = 7 which becomes 7 = 7 which is true.
solution looks good.
solution is the first number = 14 and the second number = 35.
RELATED QUESTIONS
Two numbers sum to 67. Twice the first subtracted from the second is 7. Find the... (answered by josgarithmetic,greenestamps)
Two numbers sum to 74. Thrice the first subtracted from the second is 2. Find the... (answered by addingup)
two numbers sum to 86
Thrice the first subtracted from the second is
2. Find the... (answered by josgarithmetic)
The sum of two numbers is 37. The first number subtracted from twice the second number... (answered by ewatrrr)
The sum of two numbers is 7 ,if The second number is subtracted from twice the first ,the (answered by fractalier)
2 numbers sum to 80.thrice the first is subtracted from the second is 4. find the... (answered by josgarithmetic)
Two numbers sum to 32. Twice the larger subtracted from the smaller is -22. Find the... (answered by ReadingBoosters)
The sum of two numbers is 14. When the second number is subtracted from the first number, (answered by TimothyLamb)
The sum of two numbers is 24. When the second number is subtracted from the first number, (answered by Alan3354)