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Math Help - Maths and English

  1. #1
    Junior Member
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    Maths and English

    hello

    first I am not speaking English as my first language, so this maybe due to language problem , I don't know.



    What is the difference between "A is larger than B by 10%" and "B is smaller than A by 10%"
    are they the same?

    on the other hand.

    A(1-10%)=B and
    A=B(1+10%)

    these two equations do not seem the same, so which one is to which English description?

    hope someone explain
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  2. #2
    MHF Contributor

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    Quote Originally Posted by kenny1999 View Post
    hello

    first I am not speaking English as my first language, so this maybe due to language problem , I don't know.



    What is the difference between "A is larger than B by 10%" and "B is smaller than A by 10%"
    are they the same?

    on the other hand.

    A(1-10%)=B and
    A=B(1+10%)

    these two equations do not seem the same, so which one is to which English description?

    hope someone explain
    First, don't write equations with percents- percents are not numbers and that is what is causing your confusion. Every percent requires knowing what base you are talking about. The first "A is larger than B by 10%" means that A is larger than B by 10% of B: A= B(1+ 0.10)= 1.1B. "B is smaller than A by 10%" means that B is less than A by 10% of A.
    For example, if B= 100 and A= 110 then "A is 10% bigger than B": 10% of 100 is 10 and 100+ 10= 110. But 10% of A is 11 and 110- 11= 99, not 100. B is not "10% less than A".

    By the way, your English is excellent. Far better than my ________ (put any language you like here!).
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  3. #3
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    Percentages

    Hello kenny1999
    Quote Originally Posted by kenny1999 View Post
    ..."A is larger than B by 10%" ...
    A = \frac{110}{100}B = \frac{11}{10}B
    Quote Originally Posted by kenny1999 View Post
    ..."B is smaller than A by 10%"
    B = \frac{90}{100}A=\frac{9}{10}A
    Quote Originally Posted by kenny1999 View Post
    ...are they the same?
    No.

    Grandad
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