the difference between of two numbers is 15 and their ratio is 3:2 . find the number​

Question

the difference between of two numbers is 15 and their ratio is 3:2 . find the number​

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Evelyn 10 months 2021-07-19T04:42:59+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-07-19T04:44:05+00:00

    Given :-

    • We have been given that ratio of two numbers is 3:2
    • Difference of the given two numbers is 15

    To Find :-

    • We have to find the given numbers

    How to Solve :-

    • Write the two given numbers in form of an unknown variable x
    • Apply the given conditions in the Question and form Equations
    • Simplify the equation so formed , and find the value of variable
    • Put the value of variable in the numbers

    ____________________

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    Solution :-

    Since , we have been given that ratio of two given numbers is 3:2

    ● Let the first number = 3x

    ● Second number = 2x

    According to the Question

    Difference of both the numbers is 15

    \longrightarrow \boxed{\sf{Difference \: of \: Numbers = 15}}

    \longrightarrow \sf{3x - 2x = 15}

    \longrightarrow \underline{\boxed{\sf{x = 15}}}

    Hence, value of x comes out 15

    \\

    Putting value of x in assumed numbers

    First number \sf{= 3x = 3 \times 15 = 45}

    Second number \sf{= 2x = 2 \times 15 = 30}

    Hence, two numbers are 45 and 30

    \underline{\boxed{\sf{\blue{First \: Number = 45}}}}

    \underline{\boxed{\sf{\blue{Second \: Number = 30}}}}

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    Verification :-

    \sf{● \: Ratio = \dfrac{45}{30} = \dfrac{3}{2}}

    Ratio of two numbers comes out 3:2

    \sf{● \: Difference = 45 - 30= 15}

    Difference of two numbers is 15

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    \large{\boxed{\gray{\bf{Hence \: Verified}}}} \: \: \: ✓

    0
    2021-07-19T04:44:56+00:00

    Step-by-step explanation:

    let 3x and2x

    difference of two no. is 15

    3x-2x=25

    X=25

    3x=3*25=75

    2x=2*25=50

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