A number is divided
into two parts in
such a way that 80 %
of the first part is 3
more than 60% of
the second part and
80 % of the second
part is ő more than
90 % of the first part.
Then the number is
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5
Explanation:
A number is divided into two parts. In such a way that 80% of first part exceeds 60% of second part by 3. 80% of second part exceeds 90% of first part by 6. Find the number?
Long-term goals or a short-term goals, aim to meet them all.
T(80/100)x=(60/100)y+3……….1
(80/100)y=(90/100)x+6………..2
8x=6y+30………(simplifying equation1)
8y=9x+60……..(simplifying equation 2)
8x-6y=30……3
8y-9x=60……..4
mutiplying equation 3 by 9
72x-54y=270………5
multiplying equation 4 by 8
64y-72x=480……6
adding equation 5&6
64y-54y=750
10y=750
y=750/10=75.
substituting value of y in equation 3
8x-450=30
8x=480
x=480/8=60
x=60
y=75
the number is 135 .Answer
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40
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