6. If difference between the squares of two consecutive numbers is 47. Find the smaller number.
(a)21 (b)22 (c)23 (d)24
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let the consecutive number be
x,(x+1) {where (x+1)>x}
a/q
(x+1)^2-x^2=47
x^2+2x+1-x^2=47
2x=47-1
2x=46
x=23
so the correct option is (c)23
vishnumahendrar:
another method answer please
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