Two numbers are in the ratio 7 : 10 and the sum of the numbers is 119. Find the difference of the numbers.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 21
In the ratio 7 : 10 the numbers are 7 parts and 10 parts of the same size, so the sum is 17 parts and the difference is 3 parts.
17 parts \(=119\), so 1 part \(=7\)
The numbers are \(7\times7=49\) and \(10\times7=70\)
Difference \(=70-49=21\)