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In a three-digit number, when the tens a...

In a three-digit number, when the tens and the hundreds digit are interchanged the new number is 54 more than three times the original number. If 198 is added three times the original number. If 198 is added to the number, the digits are reversed. The tests difit exceeds the hundreds digit by twice as that of the tens digit exceeds the unit digit. Find the originall number.

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The sum of the digits of a three-digit number is 11. If the digits are revesed, the new number is 46 more than five times the former number. If the hundreds digit plus twice the tens digit is equal to the units digits, then find the original three digit number?

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SURA PUBLICATION-ALGEBRA-Unit Exercise-3
  1. Solve (1)/(3)(x+y-5)=y-z=2x-11=9-(x+2z).

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  2. One hundred and fifty students are admitted to a school. They are dist...

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  3. In a three-digit number, when the tens and the hundreds digit are inte...

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  4. Find the least number common multiple of xy(k^(2)=1)+k(x^(2)+y^(2)) an...

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  5. Find the GCD of following by division algorithm 2x^(4)+13x^(3)+27x^(2)...

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  6. Reduce the given Rational expression to its lowest form (x^(3a)-8)/(...

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  7. Reduce the given Rational expression to its lowest form (10x^(3)-25x...

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  8. Simplify ((1)/(p)+(1)/(q+r))/((1)/(p)-(1)/(q+r))times[1+(q^(2)+r^(2)-p...

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  9. Arul, Ravi, and Ram working together can clean a store in 6 hours. Wor...

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  10. Find the square root of 289x^(4)-612x^(3)+970x^(2)-684x+361.

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  11. Solve sqrt(y+1)+sqrt(2y-5)=3.

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  12. A boat takes 1.6 hours longer to go 36kms up a river than down the riv...

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  13. Is it possible to design a rectangular park of perimeter 320m and area...

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  14. At t minutes past 2pm, the time needed to 3 pm is 3minutes less than (...

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  15. The number of seats in a row is equal to the total number of rows in a...

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  16. If a and b are the roots of the polynomial f(x)=x^(2)-2x+3, find the...

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  17. If a and b are the roots of the polynomial f(x)=x^(2)-2x+3, find the...

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  18. If -4 is a root of the equation x^(2)+px-4=0 and if the equation x^(2)...

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  19. Two farmers and Ravi cultivates three varieties of grains namely rice...

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  20. Two farmers and Ravi cultivates three varieties of grains namely rice...

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