The age of Reena and Tina are in the ratio 3 : 4 .Five years ago their ages were in the ratio 2:3 find their present ages.
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Let present ages of Rena and Tina be 3x and 4x.
Five years ago age of Rena = ( 3X - 5 ) years.
Five years ago age of Tina = ( 4X - 5 ) years.
According to the question,
Age of rena before 5 years : Age of Rina before 5 years = 2:3
3X - 5 : 4X - 5 = 2 : 3
3 ( 3X - 5 ) = 2 ( 4X - 5 )
9X - 15 = 8X - 10
9X - 8X = -10 + 15
X = 5 years.
Present age of rena = 3X = 3 × 5 = 15 years.
And,
Present age of Tina = 4X = 4 × 5 = 20 years.
Let present ages of Rena and Tina be 3x and 4x.
Five years ago age of Rena = ( 3X - 5 ) years.
Five years ago age of Tina = ( 4X - 5 ) years.
According to the question,
Age of rena before 5 years : Age of Rina before 5 years = 2:3
3X - 5 : 4X - 5 = 2 : 3
3 ( 3X - 5 ) = 2 ( 4X - 5 )
9X - 15 = 8X - 10
9X - 8X = -10 + 15
X = 5 years.
Present age of rena = 3X = 3 × 5 = 15 years.
And,
Present age of Tina = 4X = 4 × 5 = 20 years.
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