Two no are in ratio of 5:9 on substrating 3 from each the ratio bacame 1:2 find no.
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Let numbers be 5x, 9x
subtracting 3 from each we get 5x-3,9x-3
5x-3/9x-3 =1/2
2(5x-3)=9x-3
10x-6=9x-3
10x-9x= -3+6
x=3
5x= 5(3)=15
9x=9(3)=27
15,27 are numbers
Above is your answers
Answered by
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Step-by-step explanation:
QUESTION:
Two numbers are in ratio of 5:9. On substrating 3 from each the ratio become 1:2. Find number.
SOLUTION:
Let one number be
and the other number be
On subtracting 3 from each of the two numbers, we get,
BTP,
(5x-3):(9x-3) = 1:2
=> 2(5x-3) = 1(9x-3)
=> 10x-6 = 9x-3
=> 10x-9x = -3+6
=> x = 3
∴ x = 3
So, the first number is 5x = (5×3) = 15
and, the second number is 9x = (9×3) = 27
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