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Solve for a and b : 2^(a) + 3^(b) = ...

Solve for a and b :
`2^(a) + 3^(b) = 17` and `2^(a+2) - 3^(b+1) = 5`

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The correct Answer is:
a = 3, b = 2
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NAGEEN PRAKASHAN ENGLISH-LINEAR EQUATIONS IN TWO VARIABLES -Exercise 3e
  1. A boat travels for 7 hours. If it travels 4 hours downstream and 3 hou...

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  2. A sailor goes 8 km downstream in 40 minutes and returns in 1 hours....

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  3. Anshula walks 35 km partly at the rate 4 km/hour and Partly at 5 km/ho...

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  4. A bucket when filled (5)/(7) with water weights 12 kg and filled (3)/(...

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  5. Acids with 25% and 40% concentrations are mixed to get 60 litres of 30...

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  6. A person invested some amount at the rate of 12% simple interest and ...

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  7. rates?43. A milkman buys 15 litres milk partly at the rate of 12 per l...

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  8. Ved travels 600 km to his home partly by train and partly by car. H...

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  9. Students of a class are preparing for a drill and are made to stand...

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  10. A part of monthly hostel charges is fixed and the remaining depends on...

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  11. The ratio of incomes of A and B is 9 : 7 and the ratio of their expend...

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  12. Mr. Mohit has decided to walk on a treadmill for a fixed distance. Fir...

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  13. It takes 12 hours to fill a swimming pool using two pipes . If the pip...

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  14. A number consists of three digits whose sum is 17. The middle one exce...

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  15. In an examination, the number of those that passed and the number of t...

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  16. Ratio between the girls one long 11 class of 40 students is 2:3 five, ...

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  17. A certain amount is charged for 1 km for a scooter fare and lesser amo...

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  18. If 3 taps are open together, a cistern is filled in 3 hrs. One of the ...

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  19. When the numerator of a fraction increases by 4, the fraction incre...

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  20. Solve for a and b : 2^(a) + 3^(b) = 17 and 2^(a+2) - 3^(b+1) = 5

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