Let's try Alpha Exercises

Algebra Level 2

You've got a set of Alpha Exercises which are very effective in increasing height. By doing those exercises you find that every year your height is increased by 2% of your height in the previous year. If in January 2015, your height was 151.8984cm, then what was your height (in cm) in January 2013?


The answer is 146.00.

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Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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2 solutions

Rajan Thakur
Jul 31, 2015

151.8984/1.02=148.92 148.92/1.02= 145.999

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Zeeshan Khan S
Jul 31, 2015

His height increases 2% every year, that means, last year his height was 98% (100-2) of this year. Since we gotta go 2 years back, it will be

98% of 98% of 151.8984

=145.883

0 Helpful 0 Interesting 0 Brilliant 0 Confused

This is wrong. His height increases 2 2 % every year, which means his height is 102 102 % of last year. Hence, last year his height was 1 / 1.02 ≈ 98.039 1/1.02\approx 98.039 %, not 98 98 %. Your answer was correct because of luck.

Trung Đặng Đoàn Đức - 5 years, 10 months ago

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