Two numbers are in the ratio 5 : 11. If 5 is added to the first number and 1 is subtracted from the second number, then ratio becomes 1 : 2. Find the numbers.
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Answer : 55,121
Step-by-step explanation :
First number = x
Second number = yx/y = 5/11
x = 5a
y = 11a
The numerator is increased by 5 and denominator is decreased by 1. So the equation will be in the form of
5a + 5/11a-1 = 1/2
After cross multiplication u get
10a + 10 = 11a - 1
Transposing 10a right side and 1 left side.
10 + 1 = 11a - 10a
11 = a
x = 5a = 5 × 11 = 55
y = 11a = 11 × 11 = 121
Therefore the numbers are 55,121
Hope you understand.............
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