the ratio of two numbers is 4:7 and their sum is 308 find the greatest number
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Ratio of the numbers is 4:5
Addition of 4 & 5 is 9
Addition of the numbers is 36 which is 4 times 9
Multiply 4 and 5 by 4 to get 16 & 20
The large one is 20, and the other is 16.
Generally, this shortcut goes as follows
Ratio is p:q
Sum of the numbers is S
Let r = S/(p+q)
So the numbers shall be
p*r and q*r
q*r shall be larger if q>p.
:-)
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