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

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) (Show Source): You can put this solution on YOUR website!
---
I will solve one, and you solve the other using the same method.
---
x = Venkat
y = Raju
---
x = 2y
x = y + 3
---
put the system of linear equations into standard form:
---
x - 2y = 0
x - y = 3
---
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
---
solution:
x = Venkat = 6
y = Raju = 3
---
system matrix
1 -2
1 -1
---
inverse of system matrix
-1 2
-1 1
---
determinant of system matrix = 1
---
I will setup the second problem:
---
x = Peter
y = brother
---
x + y = 15
x - y = 3
---
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.
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php

RELATED QUESTIONS
your cousin is 8 years older than your brother. three years ago, your cousin was twice as (answered by lwsshak3)

Your cousin is 8 years older than your brother. Three years ago, your cousin was twice as (answered by Cromlix)

Your cousin is 8 years older than your brother. Three years ago, your cousin was twice as (answered by Timnewman)

please help me solve this problem , thank you . Ten years ago, a father was three... (answered by stanbon)

raju is now 4 times as old as sony.five years ago raju was 7 times as old as sony.find... (answered by reviewermath)

Claire's cousin is now 3 times as old as Claire. In 10 years, her cousin will be twice as (answered by Alan3354,ikleyn)

Eight years ago, Nelson was 3/4 as old as his cousin was then. Nelson is 2/3 as old as... (answered by josgarithmetic)

Sofia is 7 years older than her cousin. In 4 years, she will be twice as old as her... (answered by macston)

Melissa's cousin is five years younger than she is. In 2 years, Melissa will be twice as (answered by ankor@dixie-net.com)