Question

The sum of three consecutive multiples of 13 is 429 find these numbers ​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The 3 Consecutive Multiples of 13 which sum up and make 429 are 130, 143 and 156.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Sum of 3 consecutive multiples of 13 is 429

To find :

The numbers.

Solution :

The term Consecutive Numbers means that the are Numbers are following each other continuosly.

$\textbf{\small{\underline{Consider - }}}$

• One number as x
• Second Number as x + 13
• Third Number as x + 26

★ $\boxed{\sf{x+(x+13)+(x+26)=429}}$

$\longrightarrow$ x + (x + 13) + (x + 26) = 429

$\longrightarrow$ x + x + 13 + x + 26 = 429

$\longrightarrow$ 3x + 39 = 429

$\longrightarrow$ 3x = 429 - 39

$\longrightarrow$ 3x = 390

$\longrightarrow$ x = 390/3

$\longrightarrow$ x = 130

First Number = 130

$\rule{300}{1.5}$

★ Value of (x + 13)

$\longrightarrow$ 130 + 13

$\longrightarrow$ 143

Second Number = 143

$\rule{300}{1.5}$

★ Value of (x + 26)

$\longrightarrow$ 130 + 26

$\longrightarrow$ 156

Third Number = 156

$\rule{300}{1.5}$

Check if 130, 143 and 156 are Consecutive Multiples of 13 or not.

$\longrightarrow$ 130 ÷ 13

$\longrightarrow$ 10

$\longrightarrow$ 143 ÷ 13

$\longrightarrow$ 11

$\longrightarrow$ 156 ÷ 13

$\longrightarrow$ 12

They are Consecutive Multiples of 13.

$\therefore$ The 3 Consecutive Multiples of 13 which sum up and make 429 are 130, 143 and 156.

Answer 2

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