SOLUTION: the difference between seven times one number and three times a second number is 25. The sum of twice the first and five times the second is 95. Find the numbers.

Question 494308: the difference between seven times one number and three times a second number is 25. The sum of twice the first and five times the second is 95. Find the numbers.

Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Let x and y are two numbers
According to given conditions
7x-3y=25 ��..(1)
2x+5y=95��..(2)
Multiply (1) by 2 and (2) by -7 and add
14x-6y=50
-14x-35y=-665
---------------------
-41y=-615
y=-615/-41
y=15
Put the value of y in either equations (1) or (2) to get x
2x+5y=95��..(2)
2x+5(15)=95
2x+75=95
2x=95-75
2x=20
x=20/2
x=10
Numbers are 10 and 15
Check
Put the value of x and y in either equations (1) or (2)
7x-3y=25��..(1)
7(10)-3(15)=25
70-45=25
25=25

RELATED QUESTIONS
The difference between seven times one number and three times a second number is 25. the... (answered by stanbon)

The sum of five times a number and twice a second number is 18, but the difference of... (answered by stanbon)

The sum of five times a number and twice a second number is 18, but the difference of... (answered by lwsshak3)

The difference between seven times one number and three times a second number is 25. The... (answered by stanbon)

The sum of three times the number and a second number is one. The difference of the first (answered by lwsshak3)

Five times the difference of twice a number and seven is negative five. Find the number. (answered by mananth,stanbon)

can you guys help me again.... 2. Five times the first of two consecutive integers... (answered by greenestamps,josgarithmetic)

The sum of three numbers is 15, the sum of twice the first number,4 times the second... (answered by Alan3354)

The difference between the first number and two times the second number is -54, while the (answered by fractalier)