The square of the greater of two consecutive numbers exceeds the square of the smaller by 23. find the number
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Answer:
The numbers are 11 and 12
Step-by-step explanation:
Let the smaller number be x ,then greater number will be (x+1) .
A/c to question, the difference between their square is 23 .
so, (x+1)²-(x)²= 23
=> x²+1+2x-x²= 23
=> 2x= 23-1=22
=> x= 11
so number are 11 and 12
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