Find the number when one - third of a number is increased by \(10,\) the result is \(12\)
Answer
\(x = 6\)
Worked Solution
Question 2
15551
The cost of two tables and three chairs is \({\rm{ \$ 700}}{\rm{.}}\) If the table costs \({\rm{\$ 40}}\) more than the chair, find
a. The cost of the chair b. The cost of the table.
Answer
Chair = \(\$ 124\)
Table = \(\$164\)
Worked Solution
Question 3
15552
The difference between the two numbers is \(64.\) The ratio of the two numbers is \(7:3.\) Find
a. Larger number b. Smaller number
Answer
Larger = \(112\)
Smaller = \(48\)
Worked Solution
Question 4
15553
Brendan is \({\rm{5}}\) years younger than Maddy. Four years later, Maddy will be twice as old as Brendan. Find the present ages of Brendan and Maddy respectively.
Megha's father is \({\rm{4}}\) times as old as Megha. After \({\rm{5}}\) years, father will be three times as old as Megha. Find the present ages of Megha and her Father.
Answer
\({\rm{Megha = 10 ~years, ~Father = 40 ~years}}\)
Worked Solution
Question 6
14344
The sum of two consecutive even numbers is \({\rm{58}}{\rm{.}}\) Find the bigger number.
Answer
\(30\)
Worked Solution
Question 7
14345
Jack's mother is \({\rm{4}}\) times as old as Jack. After 5 years, Jack's mum will be three times as old as Jack.
a) Find present age of Jack. b) Find present age of Jack's mum.
Answer
\({\rm{Jack}} = 10,\,\,\,{\rm{Mother}} = 40\)
Worked Solution
Question 8
14342
The length of a rectangle is twice its breadth. If the perimeter is \({\rm{81}}\) metres.
a) Find the breadth of the rectangle. b) Find the length of the rectangle.
The sum of two consecutive numbers is \({\rm{55}}\). Find the bigger number.
Answer
\(28\)
Worked Solution
Question 10
14341
The sum of two numbers is \({\rm{25}}{\rm{.}}\) One of the numbers is \({\rm{9}}{\rm{.}}\) Therefore the other number is?
Answer
\(16\)
Worked Solution
Question 11
49276
When a number is trebled and decreased by 5, the result is 19. Find the number.
Answer
Number is 8
Worked Solution
Question 12
49278
Three consecutive integers add to 138. Find the smallest integer.
Answer
45
Worked Solution
Question 13
49277
Two consecutive integers have a sum of 163. Find the integers.
Answer
81 and 82 are the integers
Worked Solution
Question 14
49282
The length of a rectangle is \(9 \mathrm{~cm}\) longer than its width. The perimeter of the rectangle is \(38 \mathrm{~cm}\). Find its area.
Answer
\(70 \mathrm{~cm}^{2}\)
Worked Solution
Question 15
49281
A father is four times older than his son's age. The son is 4 years older than his sister. The sum of their ages is 56 years. How old is the father?
Answer
Father age is 40 years
Worked Solution
Question 16
49280
A concert was held from Friday to Sunday 40 more people attended on Saturday than on Friday and 30 more people attended on Sunday than on Saturday. A total of 260 people attended the concert. How many people attended on Friday?
Answer
50 people
Worked Solution
Question 17
49279
The sides of a triangle are given by \(x, 2x\) and \(x+2\). Given the perimeter is \(50 \mathrm{~cm}\). Find \(x\).
Answer
\(x=12\)
Worked Solution
Question 18
49283
Tony used a \(\$ 100\) note to pay for a tour. The amount of change he received was \(\$ 40\) more than the cost of the tour. Find the cost of the tour.
