Problems Based on Simple Equations

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  • Q1

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

    Marks:1
    Answer:

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  • 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
    Answer:

    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.

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  • 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
    Answer:

    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

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  • Q4

    The sum of first three consecutive multiples of a number is 162. Find the number.

    Marks:1
    Answer:

    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

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  • Q5

    Two numbers are in ratio 5:8. If the sum of the numbers is 182, then find the numbers.

    Marks:1
    Answer:

    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

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