sum of number is 95 . if one exceeds the other by 15 find the number ​

Question

sum of number is 95 . if one exceeds the other by 15 find the number

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Ximena 1 month 2021-10-22T00:48:46+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-22T00:49:56+00:00

    Answer :

    The two numbers are : 40 and 55

    Concept :

    Here the concept of linear equations in one variable is used,where by using constant terms,we find the value of variables.

    Solution :

    Let one number be x’.

    Then according to the question,

    Other number = x + 15

    Now its given that sum of both numbers = 95

    So,

    x + x + 15 = 95

    ✒ 2x + 15 = 95

    Now transposing, 15 to that side, we get,

    ✒ 2x = 95 – 15

    ✒ 2x = 80

    x \:  \:  =  \:  \:  \dfrac{80}{2}  \:  \:  =  \:  \: 40

    x = 40

    Hence, we get, x = 40.

    • Now another number is given by :

    x + 15

    = 40 + 15

    = 55

    Hence, another number, = x + 15 = 55

    So both the numbers are : 40 and 55.

    More to know :

    Linear Equations in one varible = These type of equations are formed by using one varible in equation which if found out by the help of constants.

    Graphic Solution = If we go on drawing the graph of this problem, we see that the line of graph intersects x axis at 40 and another value if represented by y, intersects it at 55.

    Word Problems = While solving the word problem, we can go through each line for forming equation. And once, equation is formed, we can solve it.

    Verification of this problem :

    If we need to verify, this, we can simple apply the values we got into the equation we formed.

    So, the equation is,

    x + x + 15 = 95

    40 + 55 = 95

    95 = 95

    Clearly, LHS = RHS

    Hence, our answer is correct.

    Thus verified.

    0
    2021-10-22T00:50:25+00:00

    Answer:

    \bigstar{\bold{First\:number=40}}

    \bigstar{\bold{Second\:number=55}}

    Step-by-step explanation:

    \Large{\underline{\underline{\bf{Given:}}}}

    • The sum of two numbers is 95
    • One number exceeds the other by 15

    \Large{\underline{\underline{\bf{To\:Find:}}}}

    • The numbers

    \Large{\underline{\underline{\bf{Solution:}}}}

    → Here we have to find the two numbers.

    → Let us assume the first number as x

    → By given,

      Second number = First number + 15

    → Hence,

      Second number = x + 15

    → Also by given,

      First number + Second number = 95

    → Hence,

      x + x + 15 = 95

    → Simplifying,

       2x + 15 = 95

       2x = 95 – 15

       2x = 80

         x = 80/2

         x = 40

    → Hence the first number is 40

    \boxed{\bold{First\:number=40}}

    → Now we know that,

      Second number = x + 15

    → Substitute the value of x

      Second number = 40 + 15

      Second number = 55

    → Hence the second number is 55

    \boxed{\bold{Second\:number=55}}

    \Large{\underline{\underline{\bf{Verification:}}}}

    →  Second number = First number + 15

       55 = 40 + 15

       55 = 55

    →  First number + Second number = 95

       55 + 45 = 95

       95 = 95

    → Hence verified.

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