Problems Based on Simple Equations
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Q1
Sum of two consecutive natural numbers is 37. Find the numbers.
Marks:1Answer:

Q2
Meenu is 46 years old. She is 4 years older than thrice her son’s age. Find the age of her son.
Marks:1Answer:
Meenu’s age = 46 years (Given) Let age of her son = x years Therefore, 46 = 4 +3x Or 46 – 4 = 3x Or x = 42/3 = 14 Thus, Meenu’s son is 14 years old. 
Q3
A park is in the shape of a rectangle. If the perimeter of the park is 186 m and its length is twice its breadth, then find its breadth.
Marks:1Answer:
Let the breadth of the park = x m Then its length = 2x m Perimeter of the park = 2(length + breadth) 186 = 2(2x + x) Or 6x = 186 Or x = 186/6 = 31 m 
Q4
The sum of first three consecutive multiples of a number is 162. Find the number.
Marks:1Answer:
Let the number be x and its three multiples be x, 2x and 3x.
Since, the sum of the first three consecutive multiples of a number is 162 so we have,
x + 2x + 3x = 162
Or 6x = 162
Or x = 162/6 = 27

Q5
Two numbers are in ratio 5:8. If the sum of the numbers is 182, then find the numbers.
Marks:1Answer:
Let the numbers be 5x and 8x. Then, 5x + 8x = 182 13x = 182 x = 14 Therefore, One of the numbers is 5 × 14 =70 The other number is 8 × 14 =112