SOLUTION: Kindly help me solve these questions? 1.Venkat is twice as old as his cousin Raju is now. If Venkat is also three years older than Raju find their ages? 2. The sum of the ages of

Algebra ->  Linear-equations -> SOLUTION: Kindly help me solve these questions? 1.Venkat is twice as old as his cousin Raju is now. If Venkat is also three years older than Raju find their ages? 2. The sum of the ages of      Log On


   



Question 828288: Kindly help me solve these questions?
1.Venkat is twice as old as his cousin Raju is now. If Venkat is also three years older than Raju find their ages?
2. The sum of the ages of Peter and his brother is 15 and the difference between their ages is 3. Find their ages?

Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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I will solve one, and you solve the other using the same method.
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x = Venkat
y = Raju
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x = 2y
x = y + 3
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put the system of linear equations into standard form:
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x - 2y = 0
x - y = 3
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copy and paste the above linear system in standard form into this matrix-method solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = Venkat = 6
y = Raju = 3
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system matrix
1 -2
1 -1
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inverse of system matrix
-1 2
-1 1
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determinant of system matrix = 1
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I will setup the second problem:
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x = Peter
y = brother
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x + y = 15
x - y = 3
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NOTE:
x - y = 3
this equation assumes that Peter is older than his brother, but the problem statement doesn't tell us either way which brother is the older, so we must guess who is the older. I chose Peter as the older.
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php