The age. Of sona and sonali are. In rotio 5:3.five year hence. The. Ratio of their. Age. Will. 10:7.find. Thier present age
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let sona and sonali present age = 5x and 3x
5 year hence -
sona age = 5x + 5
sonali age = 3x + 5
ATQ- ( 5x + 5 ) / ( 3x + 5 ) = 10 / 7
7(5x + 5) = 10(3x + 5) ( by cross multiply )
35x + 35 = 30x + 50
35x - 30x = 50 - 35
5x = 15
x = 15/5
x = 3
therefore, sona p. age = 5 × 3 = 15 years
sonali p. age = 3 × 3 = 9 years
5 year hence -
sona age = 5x + 5
sonali age = 3x + 5
ATQ- ( 5x + 5 ) / ( 3x + 5 ) = 10 / 7
7(5x + 5) = 10(3x + 5) ( by cross multiply )
35x + 35 = 30x + 50
35x - 30x = 50 - 35
5x = 15
x = 15/5
x = 3
therefore, sona p. age = 5 × 3 = 15 years
sonali p. age = 3 × 3 = 9 years
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