Question

solve pls
spamers pls stay away .. this question is kinda important❤️​⚡​

Answer 1

If the same number be added to the numbers 2 4 14 and 22 then the resultant numbers are in proportion. Find the number.

Let x as the number to be added,

$\frac{2 + x}{4 + x} = \frac{14 + x}{22 + x} \\ (2 + x)(22 + x) = (14 + x)(4 + x) \\ 44 + 2x + 22x + {x}^{2} = 56 + 4x + 14x + {x}^{2} \\ 24x + 44 = 18x + 56 \\ 6x = 12 \\ x = 2$

Therefore, 2 is the number.

Answer 2

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$\huge\underline \mathtt\red{Question:-}$

If the same number be added to the numbers 2 , 4 , 14 and 22 then the resultant numbers are in proportion. Find the number.

$\blue{ \bold{ \large{Answer:2}}}$

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$\huge\underline \mathtt\red{Explanation:-}$

Let the number be x.

${2 + x , 4 + x , 14 + x \:and \: 22 + x}$

$\frac{2 + x}{4 + x} \times \frac{14+ x}{22+ x}$

${(2 + x) × (22 + x) = (4 + x) - x (14 - x)}$

44 + 2x + 22x + ${x}^{2}$-${x}^{2}$ = 56 - 4x + 14x + x

24x - 18 x + ${x}^{2}$ = 56 - 44

6x = 12

x = $\frac{12}{6}$

× = $\frac{2}{1}$

x = 2

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