Question

The sum of three conservative numbers is 348 find the number

Answer 1

Answer:

We will use algebra to find three consecutive integers whose sum is 348. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 348. Therefore, you can write the equation like this:

(X) + (X + 1) + (X + 2) = 348

To solve for X, you first add the integers and X variables together. After that you subtract three from each side, followed by dividing by 3 on each side. Here is the working out:

X + X + 1 + X + 2 = 348

3X + 3 = 348

3X + 3 - 3 = 348 - 3

3X = 345

3X/3 = 345/3

X = 115

This now means that the first number is 115, the second number is 115 + 1 and the third number is 115 + 2. Therefore, three consecutive integers that add up to 348 are 115, 116, and 117.

115 + 116 + 117 = 348

We can check our answer by doing 115+116+117 which is 348

Hope this helps

Answer 2

Answer:

Given :-

• The sum of three consecutive numbers is 348.

To Find :-

• What is the numbers.

Solution :-

Let,

$\mapsto \bf First\: Number =\: x$

$\mapsto \bf Second\: Number =\: x + 1$

$\mapsto \bf Third\: Number =\: x + 2$

According to the question :

$\bigstar$ The sum of three consecutive numbers is 348.

So,

$\footnotesize \implies \bf \bigg\{First\: Number\bigg\} + \bigg\{Second\: Number\bigg\} + \bigg\{Third\: Number\bigg\} =\: 348$

$\implies \sf x + x + 1 + x + 2 =\: 348$

$\implies \sf x + x + x + 1 + 2 =\: 348$

$\implies \sf 3x + 3 =\: 348$

$\implies \sf 3x =\: 348 - 3$

$\implies \sf 3x =\: 345$

$\implies \sf x =\: \dfrac{345}{3}$

$\implies \sf x =\: \dfrac{115}{1}$

$\implies \sf\bold{\purple{x =\: 115}}$

Hence, the required numbers are :

$\dag$ First Consecutive Number :

$\clubsuit \: \: \sf First\: Number =\: x =\: \bold{\red{115}}$

$\dag$ Second Consecutive Number :

$\small \clubsuit \: \: \sf Second\: Number =\: x + 1 =\: 115 + 1 =\: \bold{\red{116}}$

$\dag$ Third Consecutive Number :

$\small \clubsuit \: \: \sf Third\: Number =\: x + 2 =\: 115 + 2 =\: \bold{\red{117}}$

$\therefore$ The three consecutive numbers are 115 , 116 and 117 .

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