Question

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

Answer 1

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.

Answer 2

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.