Friday, August 06, 2010

ANSWER to Maths Question ~ 2011 Feb 21 (Algebra Method)

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Here's my working & answer to a Maths Question I posted...
This is the Algebra Method of solving. 'Click Here for the Non-Algebra Method'.


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Question:
Minah is 18 yrs older than Aishah.
In 6 yrs time, Minah's age will be twice as much as Aishah.
What is Aishah's age now?

Answer:
Let,
Minah be ‘M’
Aishah be ‘A’

We’ve got to find ‘A’ which is Aishah’s age now.

Equation-01 ► M = A + 18

In 6 years time,
Equation-02 ► M + 6 = 2 (A + 6)

Using Equation-02
Substitute the 'M' from Equation-01
.
     M + 6 = 2 (A + 6)...Equation-02
A + 18 + 6 = 2 (A + 6)...Substitute 'M' from Equation-01
A + 18 + 6 = 2A + 2 x 6...use Basic Algebra Rules to solve
A + 18 + 6 = 2A + 12
    A + 24 = 2A + 12
         A = 2A + 12 – 24
         A = 2A – 12
    A – 2A = – 12
       – A =  – 12
         A = 12
.
Therefore, Aishah's age now is = 12 Years  Old

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