Simple Equations - Multi step word problems

The sum of two consecutive even numbers is 38. Find the numbers.

• 18 and 20
• 14 and 24
• 22 and 24
• 16 and 22

The sum of three consecutive odd numbers is 51. Find the numbers.

• 13, 15, 17
• 15, 17, 19
• 21, 23, 25
• 27, 29, 31

Rene is 6 years older than her younger sister. After 1 0 years, the sum of their ages will be 50 years. Find their present ages.

• The younger sister is 12 years old and Rene is 18 years old.
• The younger sister is 8 years old and Rene is 14 years old.
• The younger sister is 14 years old and Rene is 20 years old.
• The younger sister is 10 years old and Rene is 16 years old.

A 300 m long wire is used to fence a rectangular plot whose length is twice its width. Find the length and breadth of the plot.

• The length of the plot is 200 meters and the width is 100 meters.
• The length of the plot is 250 meters and the width is 125 meters.
• The length of the plot is 150 meters and the width is 75 meters.
• The length of the plot is 100 meters and the width is 50 meters.

A sum of $2700 is to be given in the form of 63 prizes. If the prize is of either $100 or $25, find the number of prizes of each type.

• 20 $100 prizes and 43 $25 prizes
• 15 $100 prizes and 48 $25 prizes
• 18 $100 prizes and 45 $25 prizes
• 25 $100 prizes and 38 $25 prizes

My mother is 12 years more than twice my age. After 8 years, my mother’s age will be 20 years less than three times my age. Find my age and my mother’s age.

• My age is 20 and my mother's age is 52.
• My age is 14 and my mother's age is 38.
• My age is 18 and my mother's age is 48.
• My age is 16 and my mother's age is 44.

Adman’s father is 49 years old. He is 5 years older than four times Adman’s age. What is Adman’s age?

• 20
• 15
• 11
• 7

The cost of a pencil is 25 paise more than the cost of a eraser. If the cost of 8 pencils and 10 erasers is

Rs12.80, find the cost of each.

• Eraser costs 50 paise, Pencil costs 75 paise
• Eraser costs 40 paise, Pencil costs 70 paise
• Eraser costs 60 paise, Pencil costs 85 paise
• Eraser costs 45 paise, Pencil costs 80 paise

The length of the rectangle exceeds its breadth by 3 cm. If the length and breadth are each increased by 2 cm, then the area of new rectangle will be 70 sq. cm more than that of the given rectangle. Find the length and breadth of the given rectangle.

• Length: 18 cm, Breadth: 15 cm

• Length: 6 cm, Breadth: 3 cm
• Length: 10 cm, Breadth: 7 cm
• Length: 7 cm, Breadth: 4 cm

If the sum of two consecutive odd numbers is 56, find the numbers.

• 25 and 31

• 27 and 29

• 33 and 35

• 21 and 23