Two numbers is 2/3. If 2 is subtracted from the first and 8 from the second, the ratio becomes the reciprocal of the original ratio. find the numbers.
Answers
Answered by
9
Hi !
The ratio of two no:s are 2:3 or 2/3 . Let the no:s be "2x" and "3x"
Reciprocal of original ratio is 3/2 or 3:2
2x - 2/ 3x - 8 = 3/2
3(3x - 8) = 2(2x - 2)
9x - 24 = 4x - 4
5x = 20
x = 4
2x = 2*4 = 8
3x = 3*4 = 12
The no:s are 8 and 12
The ratio of two no:s are 2:3 or 2/3 . Let the no:s be "2x" and "3x"
Reciprocal of original ratio is 3/2 or 3:2
2x - 2/ 3x - 8 = 3/2
3(3x - 8) = 2(2x - 2)
9x - 24 = 4x - 4
5x = 20
x = 4
2x = 2*4 = 8
3x = 3*4 = 12
The no:s are 8 and 12
Anonymous:
.☆.
Answered by
0
Answer:
Step-by-step explanation:
Attachments:
Similar questions