Question

The difference of two numbers is 96. The larger number is 12 more than 4 times the smaller number. Find the large number.

• A. 120
• B. 123
• C. 124
• D. 125

Answer 1

The correct option is C 124

Let the large number be $x$ and the small number be $y$

Then difference of two numbers $=x-y=96$ ----- (1)

The larger number is 12 more than 4 times the smaller number: $x=12+4y$ ------ (2)

Put the value of $x$ in equation (1)

Then, $12+4y-y=96$

$\Rightarrow$$3y=96-12$

$\Rightarrow$$y=\frac{84}{3}=28$

Now substitute the value of $y$ in equation (1)

$\Rightarrow$$x-28=96$

$\Rightarrow$$x=96+28$

$x=124$

Therefore the large number is 124.