1. The sum of two numbers is 4980. If 13% of the one number is equal to 17% of the other. Find thenumber.

Question

1. The sum of two numbers is 4980. If 13% of the one number is equal to 17% of the other. Find thenumber.

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Genesis 3 months 2021-10-15T13:45:16+00:00 2 Answers 0 views 0

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    0
    2021-10-15T13:46:51+00:00

    \orange{\bf{\underline{Given:-}}}

    ▪The sum of two numbers is 4980.

    ▪13% of the one number is equal to 17% of the other.

    \red{\bf{\underline{To\:Find:-}}}

    ▪The two numbers

    \huge\purple{\bf{\underline{Solution:-}}}

    Let the two number be a and b.

    According to the 1ˢᵗ condition,

     \bold{a +b= 4980}

    ⟹a = 4980 - b.........(i)

    According to the 2ⁿᵈ condition,

    13% of a = 17% of b

     ⟹\bold{ \frac{13}{100}  \times a =  \frac{17}{100} \times b }.......(ii)

    ⟹ \frac{13a}{100} =  \frac{17b}{100}

    ⟹13a = 17b

    ⟹13 \times (4980 - b) = 17b

    ⟹64740 - 13b= 17b

    ⟹64740 = 17b + 13b

    ⟹30b = 64740

    ⟹b =  \frac{64740}{30}

     \bold{∴b = 2158}

    Now,

    a + b = 4980

    ⟹a + 2158 = 4980

    ⟹a = 4980 - 2158

     \bold{∴a = 2822}

    \bold\pink{\boxed{Therefore,\:the\:two\:numbers\:are\:2822\:and\:2158}}

    _______________________________

    Hope It Helps Uh!

    0
    2021-10-15T13:46:55+00:00

     \large\bf\underline{Given:-}

    • Sum of two numbers = 4980
    • 13% of one number is equal to the 17% of the other number

     \large\bf\underline {To \: find:-}

    • Numbers

     \huge\bf\underline{Solution:-}

    Let x and y be the two numbers

    ▶️ According to Question:–

    ✥ Sum of two numbers = 4980

    ≫ x + y = 4980

    • ≫ x = 4980 – y …….(1)

    ✥ 13% of the one number is equal to 17% of the other.

    [13% of a number mean 13/100 of the number ]

    [ 17% of a number means 17/100 of the number]

    • ≫ 13x = 17y……(2)

    ✥Substituting value of x From (1) in (2)

    ≫ 13(4980 – y) = 17y

    ≫ 64740 – 13y = 17y

    ≫ 64740 = 17y + 13y

    ≫ 64740 = 30y

    ≫ y = 64740/30

    • y = 2158

    ✥ putting value of y in (1)

    ≫ x = 4980 – 2158

    • x = 2822

    Hence,

    ✝️ Two numbers are 2158 and 2822.

    \rule{200}3

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