Two numbers are in ratio 4 : 5. If 5 be added to each, the ratio becomes 5 : 7, find the numbers.
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Answered by
1
Let the numbers be 4x and 5x
According to the problem,
(4x + 5)/(5x + 5) = 5/7
=> 28x + 35 = 25x + 25
=> 28x - 25x = 25 - 35
=> 3x = -10
=> x = -10/3
The numbers are 4×-10/3 and 5×-10/3
= -40/3 and -50/3
Answered by
1
Step-by-step explanation:
Let the ratio be 4x/5x
ATQ, (4x+5)/(5x+5) = 5x/7x
28x²+35x = 25x²+25x
3x²+10x = 0
x(3x+10) = 0
3x+10 = 0
x = -10/3
Putting the value in 4x/5x
4(-10/3)/5(-10/3)
= 40/50
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