Two numbers are in the ratio 13 : 10. If they differ by 99, what are the numbers ?
Answers
Answer: 429 & 330
Step-by-step explanation:
Let the to no be 13x , 10x
The difference between 2 nos is 99
13x - 10x = 99
3x = 99/3
= 33
Nos are 13x & 10x
ie. 13*33 & 10*33
429 & 330
Verification
429 - 330 = 99
Given : Two numbers are in the ratio 13 : 10. If they differ by 99
To find : The numbers.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the two numbers)
Let, the two numbers = 13x and 10x
(obtained from the ratio 13:10)
So, their difference will be :
= 13x - 10x
= 3x
According to the data mentioned in the question,
3x = 99
x = 99 ÷ 3
x = 33
So, first number is = 13x = (13 × 33) = 429
And, second number is = 10x = (10 × 33) = 330
(These will be considered as the final results of the given mathematical problem.)
Hence, the numbers are 429 and 330