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The age of the father is twice the sum o...

The age of the father is twice the sum of the ages of his two children. After 20 yr, his age will be equal to the sum of the ages of his children. Find the age of the father.

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To solve the problem step by step, we will define the variables and set up equations based on the information given in the question. ### Step 1: Define Variables Let: - \( x \) = the sum of the present ages of the two children - \( y \) = the present age of the father ### Step 2: Set Up the First Equation ...
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NCERT EXEMPLAR ENGLISH-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-Exercise 3.3 Short Answer Type Questions
  1. For which values of a and b will the following pair of linear equation...

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  2. Find the values of p in (i) to (iv) and p and q in (v) for the followi...

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  3. Two straight paths are represented by the equations x - 3y = 2 and -2...

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  4. Write a pair of linear equations which has the unique solution x = -1 ...

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  5. If 2x + y = 23 and 4x - y = 19, then find the values of 5y - 2x and (...

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  6. Find the values of x and y in the following rectangle

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  7. Solve the following pairs of equations (i) x + y = 3.3, " " (0.6)/(...

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  8. Find the solution of the pair of equations (x)/(10) + (y)/(5) - 1 = 0 ...

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  9. By the graphical method, find whether the following pair of equations ...

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  10. Draw the graph of the pair of equations 2x+y=4 and 2x-y=4. Write the v...

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  11. Write an equation of a line passing through the point representing sol...

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  12. If (x+1) is a factor of 2x^(3)+ax^(2)+2bx+1, then find the value of a ...

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  13. If the angles of a triangle are x, y and 40^(@) and the difference bet...

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  14. Two years ago, Salim was thrice as old as his daughter and six years l...

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  15. The age of the father is twice the sum of the ages of his two children...

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  16. Two numbers are in the ratio 5 : 6. If 8 is subtracted from each of th...

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  17. There are some students in the two examination halls A and B. To make ...

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  18. A shopkeeper gives books on rent for reading. She takes a fixed charge...

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  19. In a competitive examination, 1 mark is awarded for each correct answ...

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  20. The angles of a cyclic quadrilateral ABCD are angleA=(6x+10)^(@), angl...

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