Answer:the pair of simultanous equations that model Andy's and Ron's ages are
3A-2R=6----Equation 1
R-A =2----Equation 2
Andy is 10 Years and Ron is 12 years
Explanation:
Andy's age is represented as A
and Ron';s age is represented as R
Now if Andy multiplies his own age by 3. He then subtracts twice Ron's age. The answer is 6 can be expressed mathematically as
3A-2R=6
And if Ron subtracts his age from Andy's age. The answer is −2 can be expressed as
R-A =2
Therefore the pair of simultaneous equations that model Andy's and Ron's ages are
3A-2R=6----Equation 1
R-A =2----Equation 2
Solving becomes
3A-2R=6----Equation 1
R-A =2----Equation 2
Make R subject formulae in equation 2
R =2+A
Putting R =2+A in equation 1
3A-2(2+A)=6
3A -4-2A =6
A-4=6
A=6+4=10
From eqn 2,
R-A =2
R-10 =2
R=10+2=12
Andy is 10 Years and Ron is 12 years