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The sum of ages of a boy and his brother...

The sum of ages of a boy and his brother is 25 years, and the product of their ages in years is 126. Find their ages.

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The correct Answer is:
18 years and 7 years
`x(25-x)=126impliesx^(2)-25x+126=0impliesx^(2)-18x-7x+126=0.`
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RS AGGARWAL-QUADRATIC EQUATIONS -Exercise 4E
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  2. The sum of the reciprocals of Meena's ages (in years) 3 years ago and ...

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  3. The sum of ages of a boy and his brother is 25 years, and the product ...

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  4. The product of Tanvy's age (in years) 5 years ago and her age 8 years ...

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  5. Two years ago, a man's age was three times the square of his son's age...

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  6. A truck covers a distance of 150 km at a certain average speed and the...

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  7. While boarding an aeroplane, a passenger got hurt. The pilot showing p...

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  8. A train covers a distance of 480 km at a uniform speed. If the speed h...

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  9. A train travels at a certain average speed for a distance of 54 km and...

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  10. A train travels 180 km at a uniform speed. If the speed had been 9 km/...

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  11. A train travels a distance of 300km at constant speed. If the speed of...

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  12. A passenger train takes 2 hours less for a journey of 300 km if its...

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  13. The distance between Mumbai and Pune is 192 km. Travelling by the Decc...

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  14. A motor boat whose speed is 18 km/h m still water takes 1 hour more...

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  15. The speed of a boat in still water is 15 km/hr. It can go 30 km ups...

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  16. A motorboat whose speed is 9 km/hr in still water, goes 15 km downstre...

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  17. A takes 10 days less than the time taken by B to finish a piece of wor...

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  18. Two taps running together can fill a tank in 3(1/13) hours. If one tap...

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  19. Two pipes running together can fill a tank in 11 1/9 minutes. If on...

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  20. Two water taps together can fill a tank in 6 hours. The tap of larger ...

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