Question 11.
(a)
ABCD is a parallelogram. Prove that the diagonals AC and BD bisect each other.
(b)
The present ages of a father and his daughter is x years and y years respectively.
Three years hence father will be three times as old as his daughter. 7 years ago
he was seven times as old as his daughter. Find their present ages.
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Answer:
Father is 30 years old and daughter is 8 years old
After 3 years
X + 3 = 3(y+3)
Before 7 years
x-7 = 7(y-7)
When u solve both these equations u may either get a value of x or y
Once u get any one of the value of x or y, substitute it in either of the 2 equations given above
And solve for the value of the other variable
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