Question

When a number is increased by 26, it becomes 113% of itself. What is the number?

A) 200 B) 312 C) 390 D) 234

Answer 1

Step-by-step explanation:

A+26 = 1.13A => .13A = 26=> A= 200

Answer 2

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• When a number is increased by 26, it becomes 113% of itself. What is the number?A) 200 B) 312 C) 390 D) 234

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• A) 200

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$\sf \: Let \: the \: no. \: be \: x.$

${ \bigstar{ \underline{According \: to \: the \: question,}}}$

$\sf \rightsquigarrow \: x + 26 = x \: \times \dfrac{113}{100} \\ \sf \rightsquigarrow \:100x + 2600 = 113x \\ \sf \rightsquigarrow \:113x - 100x = 2600 \\ \sf \rightsquigarrow \: x = \cancel\dfrac{2600}{13} \\ \sf \rightsquigarrow \:{ \red{ \boxed{x = 200}}}$

Hence, the number is 200.