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In a college during the start of the 1 year computer training course, the number of boys and girls are in the ratio 7 : 4. After few months…

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In a college during the start of the 1 year computer training course, the number of boys and girls are in the ratio 7 : 4. After few months some of the students left the college in the ratio 5 : 3. At the end of the year the number of boys and girls who have completed the course is 19 and 9 respectively, the no of boys initially was

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CCommunity01 Jul 2019

let the initial no of boys and girls be 7x and 4x

let the no of left students be 5y and 3y

⇒ 7x – 5y = 19 …..eq1

⇒ 4x – 3y = 9 ……eq2

⇒ Solving equation 1 and 2 we get x = 12

∴ no of boys = 7x = 7 × 12 = 84