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The sum of two numbers is 80. If the lar...

The sum of two numbers is 80. If the larger number exceeds four times the smaller one by 5. Find the numbers.

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Let the required numbers be x and y such that ` x gt y`. Then,
` x + y = 80 " " `… (i) and ` x - 4y = 5" " `… (ii)
Solve (i) and (ii)
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RS AGGARWAL-LINEAR EQUATIONS IN TWO VARIABLES -Exercise 3F
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  2. For what value of k , the following pair of linear equations has in...

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  3. For what value of k will the following pair of linear equations h...

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  4. Write the number of solutions of the following pair of linear equat...

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  5. Write the value of k for which the system of equations 3 x + ky ...

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  6. The difference between two numbers is 5 and the difference between ...

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  7. The cost of 5 pens and 8 pencils is ₹ 120, while the cost of 8 p...

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  8. The sum of two numbers is 80. If the larger number exceeds four times ...

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  9. A number consists of two digits whose sum is 8 if 18 is added to the n...

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  10. A man purchased 47 stamps of 20 p and 25 p for ₹ 10. Find th...

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  11. A man has some hens and cows. If the number of heads be 48 and nu...

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  12. Solve the following system of equations: 2/x+3/y=9/(x y),\ \ \ 4/x+...

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  13. If (x)/(4) + ( y)/(3) = (5)/(12) and (x)/(2) + y = 1 then ...

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  14. If 12 x + 17 y = 53 and 17 x + 12 y = 63 then find t...

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  15. Find the value of k for which the system of equations 3x + ...

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  16. Find the values(s) of k for which the system of equations k x-y=2 6x-...

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  17. The value of k for which the system of equations 2x+3y=5,\ \ \ \ 4x+...

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  18. Show that the system 2 x + 3y - 1 = 0 , 4x + 6y - 4 = 0 has no ...

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  19. Find k for which the system x + 2y = 3 and 5x + ky + 7 = 0 is i...

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  20. Solve : (3)/(x + y ) + ( 2)/(x - y ) = 2 and (9)/(x + y ) - ...

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