 # Problems Based on Simple Equations

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• Q1

Sum of two consecutive natural numbers is 37. Find the numbers.

Marks:1 • Q2

Meenu is 46 years old. She is 4 years older than thrice her son’s age. Find the age of her son.

Marks:1

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:1

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:1

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:1

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