SOLUTION: Two numbers sum to 74. Thrice the first subtracted from the second is 2. Find the numbers

Algebra.Com
Question 1060868: Two numbers sum to 74. Thrice the first subtracted from the second is 2. Find the numbers
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
x+y = 74, subtract x on both sides:
y = 74-x
Then the problem says
y-3x = 2 substitute for y
74-x-3x = 2
74-4x = 2
-4x = -72 divide both sides by -4, and remember -/- = +
x = 18 and y = 74-x:
74-18 = 56
Now we have that
x = 18
y = 56
------------------------
Check:
y-3x = 2
56-3(18) = 2
56-54 = 2 Correct.
:
John

RELATED QUESTIONS

two numbers sum to 86 Thrice the first subtracted from the second is 2. Find the... (answered by josgarithmetic)
2 numbers sum to 80.thrice the first is subtracted from the second is 4. find the... (answered by josgarithmetic)
Two numbers sum to 49. Twice the first subtracted from the second is 7. Find the... (answered by Theo)
Two numbers sum to 67. Twice the first subtracted from the second is 7. Find the... (answered by josgarithmetic,greenestamps)
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)
The sum of two numbers is 74. If four times the smaller number is subtracted from the... (answered by Fombitz)
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 -3. if the second number is subtracted from the first, the... (answered by ankor@dixie-net.com,Mathtut)