Question

the sum of two number is 125 and thier difference is 25 find the number​

Answer 1

If the number 125 is devided into 25 then the currect answer is 5

Answer 2

Solution:-

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$\implies$ Here it is given in the question that the sum of two numbers is 125 and their difference is 25. Now, the question has asked us to find out the numbers. So, to find the numbers follow the steps shown below.

ANSWER:-

⪼ 1st number = 75

⪼ 2nd number = 50

GIVEN:-

⟶ Sum of 2 numbers = 125

⟶ Their difference = 25

TO FIND:-

⇢ 1st number = ?

⇢ 2nd number = ?

HOW TO DO:-

❐ Let the 1st number be x.

❐ Let the second number be (x - 25).

❐ Equation = x + (x - 25).

❐ Solve further.

SOLVING BY APPLYING THE FORMULA:-

⟶ Sum of 2 numbers = 125

⟶ Their difference = 25

❐ Let the 1st number be x.

❐ Let the second number be (x - 25).

❐ Equation = x + (x - 25) = 125

❐ Solve further.

• Finding the value of x:-

☞ x + (x - 25) = 125

Opening the bracket:- x + x - 25

So,

☞ x + x - 25 = 125

Adding the variables:- x + x = 2x

So,

☞ 2x - 25 = 125

Transposing 25 to R.H.S:- 2x = 125 + 25

So,

☞ 2x = 125 + 25

Adding the terms:- 125 + 25 = 150

So,

☞ 2x = 150

Transposing 2 to R.H.S:- 150 / 2

So,

x = 150 / 2

☞ Dividing the terms:- 150 / 2 = 75

So,

x = 75

Thus, the value of x is 75.

• Finding the numbers:-

☞ 1st number = x

⠀⠀⠀⠀⠀⠀⠀⠀⠀x = 75

Thus, the 1st number is 75.

☞ 2nd number = x - 25

⠀⠀⠀⠀⠀⠀⠀⠀⠀x - 25 = 75 - 25

⠀⠀⠀⠀⠀⠀⠀75 - 25 = 50

Thus, the 2nd number is 50.

VERIFICATION:-

1. Sum

☞ 1st no. + 2nd no. = Total

☞ 75 + 50

☞ 75 + 50 = 125

☞ 125

∴ L.H.S = R.H.S

2. Difference

☞ 1st no. - 2nd no. = Difference

☞ 75 - 50

☞ 75 - 50 = 25

☞ 25

∴ L.H.S = R.H.S

Hence, proved.

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