two numbers are in ratio 3:4 when 8 is subtracted from each the ratio becomes 2:3 find the number
Answers
Answered by
0
Answer:
24 and 32
Step-by-step explanation:
Let the numbers be x
Hence,the numbers are 3*x and 4*x
Let us build a equation
3x-8=4x-8(As 8 is subtracted from both sides)
3x-8=2x and 4x-8=3x (Given,taken as x)
3x-8+4x-8=2x+3x (adding both equations)
7x-16=5x
-16=5x-7x. or. 7x-5x=16
therefore,x=16/2
=8
The sums is not over,the no.s are
3*8 and 4*8
24 and 32
Answered by
1
Answer:
The numbers are 36 and 48
Step-by-step explanation:
Let the required numbers are x and y and its given that they are in the ratio 3:4
3:4 can be written as 3/4
ie 3/4 = x/y
4x = 3y
x = 3y/4-----------------EQUATION 1
(x-8)/(y-8) = 2/3
3(x-8) = 2(y-8)
3(3y/4 - 8) = 2y - 16
9y/4 - 24 = 2y - 16
9y/4-2y - 24-16
(9y - 8y)/4 = 8
y/4 = 8
y = 32
x = 3y/4
ie x = (3 x 32)/4
ie x = 96/4
= 24
The numbers are 24 and 32
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