rozy is 5 years younger than her brother after 4 years, their ages will be in ratio 2:3, find their present sge.
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Answered by
3
Heya !!
Let the age of rozy's brother be X years.
Age of rozy = ( X - 5 ) years.
After 4 years age of rozy's brother = ( X + 4 ) years.
After 4 years age of rozy = ( X - 5 + 4 ) = ( X - 1 ) years.
According to the question,
X - 1 : X + 4 = 2 : 3
3 ( X - 1 ) = 2 ( X + 4 )
3X - 3 = 2X + 8
3X - 2X = 8 + 3
X = 11
Present age of rozy's brother = X = 11 years.
And,
Present age of rozy = X - 5 = 11 - 5 = 6 years.
Let the age of rozy's brother be X years.
Age of rozy = ( X - 5 ) years.
After 4 years age of rozy's brother = ( X + 4 ) years.
After 4 years age of rozy = ( X - 5 + 4 ) = ( X - 1 ) years.
According to the question,
X - 1 : X + 4 = 2 : 3
3 ( X - 1 ) = 2 ( X + 4 )
3X - 3 = 2X + 8
3X - 2X = 8 + 3
X = 11
Present age of rozy's brother = X = 11 years.
And,
Present age of rozy = X - 5 = 11 - 5 = 6 years.
Answered by
4
Let present age of rozy be ( x ) years and present age of her brother be ( x + 5 ) years,
After 4 years,
Age of rozy = ( x + 4 ) years
Age of her brother = ( x + 5 + 4 ) years
According to the question :
![\frac{x + 4}{x + 9} = \frac{2}{3} \frac{x + 4}{x + 9} = \frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7Bx+%2B+4%7D%7Bx+%2B+9%7D+%3D+%5Cfrac%7B2%7D%7B3%7D+)
=> 3( x + 4 ) = 2( x +9 )
=> 3x + 12 = 2x + 18
=> 3x - 2x = 18 - 12
=> x = 6
Hence, Present age of rozy = 6 years
Present age of her brother = (6+5) = 11 years
After 4 years,
Age of rozy = ( x + 4 ) years
Age of her brother = ( x + 5 + 4 ) years
According to the question :
=> 3( x + 4 ) = 2( x +9 )
=> 3x + 12 = 2x + 18
=> 3x - 2x = 18 - 12
=> x = 6
Hence, Present age of rozy = 6 years
Present age of her brother = (6+5) = 11 years
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