Question

Find: $\frac{75\times75-26\times{26}}{101}=?$

• A. 59
• B. 39
• C. 29
• D. 49

Answer 1

Answer:

D. 49

Solution:

$\frac{75\times{75}-26\times{26}}{101}=?$

$\frac{75^2-26^2}{101}=?$

We know that $(a^2-b^2)=(a-b)(a+b)$

$?=\frac{(75-26)(75+26)}{101}$

$?=\frac{49\times{101}}{101}$

$?=49$

Hence the answer is 49.