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

### ★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,

### ✒ 2x + 15 = 95

Now transposing, 15 to that side, we get,

### ✒ x=40

Hence, we get, x = 40.

• Now another number is given by :

### =55

Hence, another number, = x + 15 = 55

### ★Moretoknow:–

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.

### ★Verificationofthisproblem:–

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

Thus verified.  Step-by-step explanation: • The sum of two numbers is 95
• One number exceeds the other by 15 • The numbers → 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 → 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  →  Second number = First number + 15

55 = 40 + 15

55 = 55

→  First number + Second number = 95

55 + 45 = 95

95 = 95

→ Hence verified.