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# 9.How many numbers lie between squares of the following numbers? (i) 12 and 13 (ii) 25 and 26 (iii) 99 and 100.

Answer :

We know that numbers between $$n^2$$ and $$(n + 1)^2$$ = 2n

(i) Numbers between $$12^2$$ and $$13^2$$ = (2n) = $$2 \times 12$$ = 24

(ii) Numbers between $$25^2$$ and $$26^2$$ = $$2 \times 25$$ = 50 [ n = 25]

(iii) Numbers between $$99^2$$ and $$100^2$$ = $$2 \times 99$$ = 198 [ n = 99]