Question

$\text{Find the value of}A\text{and}B\text{from the}$ $\text{following expressions:}$

$\frac{3}{10}+$ $\frac{45}{100}=A$

$1-$ $A=B$

• A. $B=\frac{45}{100}$ $;$ $A=\frac{55}{100}$
• B. $B=\frac{75}{100}$ $;$ $A=\frac{25}{100}$
• C. $A=\frac{65}{100}$ $;$ $B=\frac{35}{100}$
• D. $A=\frac{75}{100}$ $;$ $B=\frac{25}{100}$

Answer 1

The correct option is D $A=\frac{75}{100}$ $;$ $B=\frac{25}{100}$

The given expression is:

$\frac{3}{10}+$ $\frac{45}{100}=A$

$\text{Let's convert}\frac{3}{10}\text{into a like fraction}$ $\text{with denominator 100}.$

$\frac{3}{10}=$ $\frac{3\times 10}{10\times 10}$

$=\frac{30}{100}$

$\text{∴ The value of}A=\frac{3}{10}+$ $\frac{45}{100}$
$=\frac{30}{100}+$ $\frac{45}{100}$

$=\frac{30+45}{100}$

$=\frac{75}{100}$

$So,A=\frac{75}{100}$

Now, find out the value of "B".

The given expression is:
$1-A=B$


$\text{∴ The value of}A=1-\frac{75}{100}$

$=\frac{100}{100}-$ $\frac{75}{100}$

$=\frac{100-75}{100}$

$=\frac{25}{100}$

$So,B=\frac{25}{100}$

$\therefore A=\frac{75}{100};B=\frac{25}{100}$