16. If sum of two numbers is 35 and their difference is 13. then the numbers are 020 and 15 O 22 and 13 O 24 and 11

Question

16. If sum of two numbers is 35 and
their difference is 13. then the
numbers are
020 and 15
O 22 and 13
O 24 and 11
O 25 and 10​

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Adeline 1 month 2021-08-14T18:56:00+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-14T18:57:16+00:00

    Answer:

    24 and 11 will be the right answer

    Step-by-step explanation:

    there is given that the difference of the numbers is a 3 = 24 – 11 =13

    and the sum = 24+ 11

    = 35

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    0
    2021-08-14T18:57:49+00:00

    AnswEr :

    ⠀⠀⠀⠀⠀⠀ ⠀Sum of both Numbers is 35 & the difference is 13. Let us consider that two numbers be ‘x’ & ‘y’.

    _________________________

    \underline{\boldsymbol{According\: to \:the\: Question :}}

    :\implies\sf x + y = 35 \:\:\:\:\:\: -eq(1).  \\\\\\:\implies\sf x - y = 13 \:\:\:\:\:\:  -eq(2).

    Now, We’ll add both the equations

    :\implies\sf x + y = 35 \\\\\\:\implies\sf x - y = 13  \\\\\\:\implies\sf 2x = 48  \\\\\\:\implies\sf x = \dfrac{48}{2}  \\\\\\:\implies x = 24

    Here, we get value of x is 24, Let’s find out the value of y.

    :\implies\sf x - y = 13\\\\\\:\implies\sf 24 - y = 13 \\\\\\:\implies\sf y = 24 - 13 \\\\\\:\implies y = 11

    Hence, option (c) is correct, the required numbers are 24 & 11.

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