Two numbers are such that the ratio between them is 5:7.if is added to each of them, the ratio becomes 3:4.find the answer

Question

Two numbers are such that the ratio between them is 5:7.if is added to each of them, the ratio becomes 3:4.find the answer

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Eden 2 months 2021-11-10T20:43:20+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-10T20:44:24+00:00

    Given:-

    • Two numbers are such that the ratio between them is 5:7.
    • If 7 is added to each of them, the ratio becomes 3:4.

    To find out:-

    Find the value of 5:7 ?

    Solution:-

    Let the ratio between two no be 5x : 7x.

    ★ According to the question,

    If 7 is added to each of them, the ratio becomes 3:4.

    5x + 7 : 7x + 7 =3:4

    ⇒ 5x + 7 / 7x + 7 = 3/4

    By cross- multiplication

    ⇒ 4 ( 5x + 7 ) = 3 ( 7x + 7 )

    ⇒20x + 28 = 21x + 21

    ⇒ 21x – 20x = 28 – 21

    ⇒ x = 7

    Now,

    5x = 5 × 7 = 35

    7x = 7 × 7 = 49

    0
    2021-11-10T20:45:08+00:00

    {\bf{\underline{Correct\:Question:-}}}

    Two numbers are such that the ratio between them is 5:7. If 7 is added to each of them, the ratio becomes 3:4. Find the two numbers.

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

    Two numbers are such that the ratio between them is 5:7

    After adding 7 to each of them, the ratio becomes 3:4

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

    The two numbers

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

    Let the constant be x.

    According to the 1ˢ condition,

    \bold\green{Two\:numbers\:are=5x\:and\:7x.}

    According to the 2 condition,

    \bold\green {5x + 7:7x + 7 = 3:4}

     \\ 5x + 7:7x + 7 = 3:4 \\ ⟹ \frac{5x + 7}{7x + 7} =  \frac{3}{4}   \\ ⟹20x + 28 = 21x + 21 \: (cross \: multiply) \\ ⟹20x - 21x = 21 - 28 \\ ⟹ - x =  - 7 \\  ⟹x= 7 \\

    The Two Numbers are :

    5x = 5 × 7 = 35

    7x = 7 × 7 = 49

    \blue{\bf{\boxed{Answer: 35 \: and \: 49.}}}

    \\\\

    \\\\[tex] <marquee> ❤Hope it helps Uh!!!❤ </marquee> [/tex]

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