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Answers
Answer:
9 & 2
Step-by-step explanation:
Ques:
One number is 7 more than the other. Its square is 77 more than the square of the smaller no. find the numbers?
Soln:
Let x be the greater number and y be the smaller number.
=> x = y+7 ----- (1) &
x² = y²+77 ------- (2) (given)
squaring (1) =>
x² = (y+7)²
=> y²+77 = (y+7)² ---------------- from (2)
=> y²+77 = y²+2(y)(7)+7²
=> y²+77-y² = 14y+49
=> 14y = 77-49 = 28
=> y = 28/14 = 2
substitute the value of y in (1), we get
x = 2+7 = 9
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verify: x² = (y+7)² having x=9 and y=2
=> 9² = (2+7)²
=> 9² = 9²
verified
____________________________________
Answer:
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Step-by-step explanation:
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