Question

Find the values of the letters in following, and give reason for the steps involved.

$AB$
$\underset{–}{\times 6}$
$\underset{–}{BBB}$

• A. $A=7,B=4$
• B. $A=8,B=2$
• C. $A=7,B=2$
• D. $A=8,B=4$

Answer 1

The correct option is A $A=7,B=4$

Given: $AB$

$\underset{–}{\times 6}$
$\underset{–}{BBB}$

$AB\times 6=BBB$
Numbers in the tens position are multiplied by $10$ and in hundreds position are $x$ by $100$ when we break the number.

$(10A+B)\times 6=100B+10B+B$

$60A+6B=100B+10B+B$

$60A=105B$
$4A=7B$

$\text{Only possible values are}A=7,B=4(A\&B<10)$