SOLUTION: The sum of two numbers is 10.Three times one of them is more than four times the second by 2. Find the numbers.

Question 157467: The sum of two numbers is 10.Three times one of them is more than four times the second by 2. Find the numbers.
Found 2 solutions by nerdybill, jojo14344:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The sum of two numbers is 10.Three times one of them is more than four times the second by 2. Find the numbers.
.
Let x = one number
and y = second number
.
Since we have two unknowns, we'll need two equations.
.
From: "The sum of two numbers is 10" we get:
x + y = 10 (equation 1)
.
From: "Three times one of them is more than four times the second by 2" we get:
3x = 4y+2 (equation 2)
.
Solve equation 1 for y:
x + y = 10
y = 10 - x
.
Plug the above into equation 2 and solve for x:
3x = 4y+2
3x = 4(10 - x)+2
3x = 40 - 4x + 2
7x = 40 + 2
7x = 42
x = 6
.
Plug the above into equation 1 and solve for y:
x + y = 10
6 + y = 10
y = 4
.
Solution: the two numbers are 4 and 6
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!
Let = 1st no.
= 2nd no.
1st condition: ------------------------> eqn 1
2nd condition: -----------------------> eqn 2
.
In 2nd condition, 3 times one of them is more than 4 times the other by 2, right?
.
In eqn 1 we get, ----------------------> eqn 3, substitute in eqn 2

---->
------------> 2nd no.
Go back eqn 3: -------------> 1st no.
It satisfy the 1st condition:
Thank you,
Jojo
RELATED QUESTIONS
the sum of three numbers is 85. The second is 7 more than the first. The third is 2 more... (answered by ptaylor)
The sum of three numbers is 85. The second is 7 more than the first. The third is 2... (answered by Edwin McCravy)
The greater of two numbers is 1 more than three times the smaller. Four times the greater (answered by lwsshak3)
There lot of questions: 1. find four consecutive odd numbers such that four times the... (answered by nyc_function)
The sum of two numbers is 92. The first number is four more than three times the second... (answered by deborabr,richwmiller)
one number is 4 more than three times another. the sum of the two numbers is 32. find the (answered by mananth)
the greater of two numbers is one more than twice the smaller. three times the greater... (answered by edjones,checkley77)
1.one number is 11 more than another number. find the two numbers if three times the... (answered by MathLover1)
Three numbers are such that the second number is 5 more than the first and the thrid... (answered by satyareddy22)