Find the number when one-third of a number is increased by 10, the result is 12.
Answer
\(6\)
Worked Solution
Question 3
32908
The sum of three consecutive numbers is 78. Find the
i) Smallest number ii) Largest number
Answer
i) \(25\) ii) \(27\)
Worked Solution
Question 4
32909
The difference between the two numbers is 64. The ratio of the two numbers is \(7:3\). Find
i) Larger number ii) Smaller number
Answer
i) \(112\) ii) \(48\)
Worked Solution
Question 5
32910
Brendan is 5 years younger than Maddy. Four years later, Maddy will be twice as old as Brendan. Find the present ages of Brendan and Maddy respectively.
Answer
Maddy \(=6\) and Brendan \(=1\)
Worked Solution
Question 6
111093
When a number is trebled and decreased by 5, the answer is 19. The number is?
Answer
8
Worked Solution
Question 7
111094
Two consecutive odd numbers have a sum of 64. Find the product of the numbers.
Answer
1023
Worked Solution
Question 8
111095
Tony used a $100 note to pay for a tour of Bathurst. The amount of change he received was $10 more than the cost of the tour. What was the cost of the tour?
Answer
$45
Worked Solution
Question 9
111096
Alice bought a 500 g packet of flour. She used some flour to bake a cake and one third of the remaining flour to make biscuits. She used 40 g more flour for the cake than for the biscuits. How much flour did she use for the cake?
Answer
155 g
Worked Solution
Question 10
111097
Of the lambs born on the farm, there were 40 fewer males than females. If \(\dfrac{2}{5}\) of the lambs were male, determine the number of lambs that were born.