Question

If the addition of five consecutive numbers is 270. Find out sum of the 1st and 3rd Number.​

Answer 1

$\large{\green{\bold{\underline{Let:}}}}$

$\sf \: The \: five \: numbers \: be \: x, \: x+1, \: x+2, \: x+3 \: and \: x+4$

$\large{\red{\bold{\underline{Then:}}}}$

$\large{\orange{\bold{\underline{According \: To \: Question:}}}}$

$\rightarrow \sf \: x + (x+1) + (x+2) + (x+3) + (x+4) = 270 \\ \\ \rightarrow \sf \: x + x+1 + x+2 + x+3 + x+4 = 270 \\ \\ \rightarrow \sf \: 5x + 10 = 270 \\ \\ \rightarrow \sf \: 5x = 270 - 10 \\ \\ \rightarrow \sf \: 5x = 260 \\ \\ \rightarrow \sf \: x = \frac{ \cancel260}{ \cancel5} \\ \\ \rightarrow \sf \: x = 52$

$\large{\red{\bold{\underline{Then:}}}}$

$\sf \: Numbers \: are \: 52, \: 52+1, \: 52+2, \\ \sf \: 52+3 \: and \: 52+4.$

$\large{\blue{\bold{\underline{Finally:}}}}$

$\sf \: Five \: consecutive \: numbers \: are \: 52, \: 53, \: 54, \\ \sf \: 55 \: and \: 56.$

$\large{\pink{\bold{\underline{But:}}}}$

$\sf \: We \: need \: to \: find \: addition \: of \: 1st \\ \sf \: and \: 3rd \: number.$

$\rightarrow \sf \: 52 + 54 \\ \rightarrow \sf \: 106$

$\large{\green{\bold{\underline{Hence:}}}}$

$\underline{ \underline{ \sf \: The \: required \: Answer \: is \: 106.}}$

Answer 2

Answer:

✡ Given ✡

$\leadsto$ If the addition of five consecutive numbers is 270.

✡ To Find ✡

$\leadsto$ What is the sum of the 1st and 3rd number.

✡ Solution ✡

✏ Let the 1st no be x

✏ 2nd no be x + 1

✏ 3rd no be x + 2

✏ 4th no be x + 3

✏ 5th no be x + 4

▶ According to the question,

$\implies$ x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 270

$\implies$ x + x + 1 + x + 2 + x + 3 + x + 4 = 270

$\implies$ x + x + x + x + x + 1 + 2 + 3 + 4 = 270

$\implies$ 5x + 10 = 270

$\implies$ 5x = 270 - 10

$\implies$ 5x = 260

$\implies$ x = $\dfrac{260}{5}$

$\implies$ x = 52

➡ We get the value of x = 52

Then,

• 1st = 52
• 2nd = 52 + 1 = 53
• 3rd = 52 + 2 = 54
• 4th = 52 + 3 = 55
• 5th = 52 + 4 = 56

$\mapsto$ We got the five consecutive numbers that is 52, 53, 54, 55, 56

$\mapsto$ But in the question we have to find the sum of 1st and 3rd number,

$\implies$ 52 + 54

$\implies$ 106

$\therefore$ The number will be 106.

Explanation:

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