if 1 is added to each of the two uncertain numbers, their ratio is 1:2; and if 5 is subtracted from each of the two numbers, their ratio become 5:11 find the number
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Step-by-step explanation:
Let the no.s be x and y.
given, A/Q,
x+1:y+1=1:2
y+1
x+1
=
2
1
2x+2=y+1
2x−y=−1 .....(1)
Again, x−5:y−5=5:11
y−5
x−5
=
11
5
11x−55=5y−25
11x−5y=30 ..... (2)
from 1 and 2, by elimination method,
(1)×5⇒10x−5y=−5
(2)×1⇒11x−5y=30
−1x=−35,so,x=35
We know, from (1)
2x−y=−1
putting x==35, we get
2×35+1=y
71=y
so the no.s are 30 and 71.
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