Two numbers are in ratio of 7:10 and if the sum of the numbers is 119. Find the difference of the numbers.

21

The correct answer is Option 2: 21

Step 1: Let the numbers be

7x and 10x

Step 2: Use the sum

7x + 10x = 119

17x = 119

x = 119 / 17 = 7

Step 3: Find the numbers

7x = 7 × 7 = 49
10x = 10 × 7 = 70

Step 4: Find the difference

70 − 49 = 21