two numbers are in the ratio of 2:3 if 2 is added to both , the ratio becomes 3/4 Find the number
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Answer:
4,6
Step-by-step explanation:
- given x:y=2:3
- let x=2y/3
- 2 is added to both ratio becomes 3/4
- x+2:y+2=3:4
- (x+2)/(y+2)=3/4
- by cross multiplying
- (x+2)*4=(y+2)*3
- 4x+8=3y+6
- x=2y/3
- 4(2y/3)+8=3y+6
- 8y+24=3(3y+6)
- 8y+24=9y+18
- 24-18=9y-8y
- 6=y
x=2y/3
x=2*6/3=12/3
x=4
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