two number are such that the ratio between them is 3 ratio 5 if each is increased by 5 the ratio between the New numbers of form is 2 ratio 3 find the original number
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Answered by
1
Answer:
10/3, 1/5
Step-by-step explanation:
let the no.s be considered as x.
ratio formed are 3x and 5x.
so we can imply than 3x/5x=2/3
cross multiply them.
the answer formed has to be substituted to the places of x. this will give u the answers
Answered by
2
Let the two numbers be x and y and the requiere ratio be (x/y).
By question, x/y= 3/5.........(1)
Also (x+5)/(y+5) = 2/3......(2)
From (2), 3(x+5)=2 (y+5)
Or, 3x+15=2y +10
Or,3x-2y=-5......(3)
Now from (1), x=3y/5
Using this in (3) we get
3*(3y/5) -2y= -5
Or,9y-10y= -5*5
Or, -y = -25
Therefore, y = 25.
Now from (1), x=3*25/5 = 15
Therefore ,original number is (x/y) =15/25
Step-by-step explanation:
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