Two numbers are in the ratio 3:5. If
12 is added to both the numbers, then
the ratio becomes 5:7. The sum of the
given two numbers is
(1) 32
(2) 40
(3) 48
(4) 56
Answers
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Solution:-
❑Let the 2 numbers are 3x and 5x
Respectively.
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According to the Question :
If 2 is added to both the numbers, then the ratio becomes 5:7
Therefore ,
⇒3x + 12 /5x = 12 = 5/7
⇒5 ( 5x + 12 ) = 7 ( 3x + 12 )
⇒25 + 60 = 21 x + 84
⇒25x - 21x = 84 - 60
⇒4x = 24
⇒x = 24/4
⇛ x = 6
❑ Hence the numbers are,
First number, 3x = 3(6) = 18
Second number, 5x = 5(6) = 30
☣Hence 2 numbers are 18 & 30☣
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Now,
Sum of the given number is,
18 + 30 = 48