a number increased by [tex]22 \frac{1}{2} \%[/tex] gives 98 . Find the number

Subject:
Math
Author:
oprahst8m
Created:
1 year ago

Answers 2

Answer:

Step-by-step explanation:

[tex]let \: the \: number \: be \: x \\ increased \: by \: 22 \frac{1}{2}percent. \\ \frac{ \frac{45}{2} }{100} \times x + x = 98 \\ \frac{45}{200} x + x = 98 \\ \frac{9}{40}x + x = 98 \\ \frac{9x + 40x}{40} = 98 \\ \frac{49}{40}x = 98 \\ x = \frac{98 \times 40}{49} \\ x = \frac{3920}{49} \\ x = 80 \: ans[/tex]

Author:

buttergardner
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Answer:

number = 80

Step-by-step explanation:

[tex]22\frac{1}{2}[/tex] is 22.5

A number increased by 22.5% gives 98

=> 122.5% of the number is 98

=> 122.5/100 x number = 98

=> number = 98 x 100 /122.5

=> number = 80

Author:

pookie6tik
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