Q8:
Solve the simultaneous equations by first finding an equation in and then .
Q9:
Find two numbers whose sum is 28 and difference is 13.
Q10:
Find the values of and , given the arithmetic mean between and is 62 and the arithmetic mean between and is .
Q11:
Renatoβs fatherβs age equals Renatoβs age multiplied by 10. If difference between their ages is 18 years, how old are they?
Q12:
If and , find .
Q13:
A manβs age is 9 more than 2 times his sonβs age. Given that the sum of their ages is 57, find each of their ages.
Q14:
The difference between two numbers is 9. Twice the sum of the two numbers is 10. Find the two numbers.
Q15:
Anthony and Benjamin each have a marble collection to sell. Benjamin has 1 more than 3 times the number of marbles Anthony has. How many marbles does each boy have to sell if the total number of marbles is 113?
Q16:
Two integers and have a sum of 82 and a product of . Write an equation which could be solved to find the possible values of .
Q17:
Solve the following system of equations:
Q18:
Find the values of and , given the arithmetic mean between and is and the arithmetic mean between and is .
Q19:
Find the values of and , given the arithmetic mean between and is 77.5 and the arithmetic mean between and is 467.
Q20:
Solve the following system of equations:
Q21:
Two numbers have a sum of 56. If one number is one-third of the other, what are the numbers?
Q22:
If and , what is the value of ?
Q23:
Solve the simultaneous equations by first finding an equation in terms of and then substituting your value of to find .
Q24:
Given that , find the values of and .
Q25:
If and , what is the value of ?