Difference of squares of two numbers is 200 and six times The square of one number Is equal To tenTimes The larger number . Then the larger number is
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Given : Difference of squares of two numbers is 200 and six times The square of one number Is equal To tenTimes The larger number
To Find : the larger number
Solution:
Let say smaller number = S
Larger number = L
Difference of squares of two numbers is 200
=> L² - S² = 200
The square of one number Is equal To ten Times The larger number .
=> 6S² = 10L
=> S² = 10L/6
=> S² = 5L/3
L² - S² = 200
=> L² - 5L/3 = 200
=> 3L² - 45L + 40L - 600 = 0
=> 3L(L - 15) + 40(L - 15) = 0
=> (L - 15)(3L + 40) = 0
L = 15
Larger Number is 15
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