Question

A number is divided into two parts, such that one part is 20 more than the other. If the two parts are in the ratio 7 : 3, then find the number and the two parts.

• A. Number = 60, two parts are 30 and 30
• B. Number = 50, two parts are 15 and 35
• C. Number = 50, two parts are 25 and 25
• D. Number = 50, two parts are 10 and 40

Answer 1

The correct option is B

Number = 50, two parts are 15 and 35

Let the two parts of the number be $7x$ and $3x.$
According to the given data, $7x=3x+20.$
So,
$7x-3x=204x=20x=\frac{50}{4}x=5$

Therefore, the two parts are,
$7x=7\times 5=35$
$3x=3\times 5=15$

The number is therefore, $35+15=50$.