Asked by BK
2 Numbers are in the ratio 2:3. if 8 is added to both the numbers ,then the ratio becomes 3:4 . then the numbers are ?
Answers
Answered by
Steve
x/y = 2/3
(x+8)/(y+8) = 3/4
3x = 2y
4x+32 = 3y+24
4x + 32 = 3(3x/2)+24
x/2 = 8
x = 16
y = 24
check:
16/24 = 2/3
(16+8)/(24+8) = 24/32 = 3/4
(x+8)/(y+8) = 3/4
3x = 2y
4x+32 = 3y+24
4x + 32 = 3(3x/2)+24
x/2 = 8
x = 16
y = 24
check:
16/24 = 2/3
(16+8)/(24+8) = 24/32 = 3/4
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