1.

The ratio of two numbers is 31 : 23 and their sum is 216. Find these numbers.

Answer»

The ratio of two numbers is 31 : 23 

Let the common multiple be x. 

∴ First number = 31x and 

Second number = 23x 

According to the given condition, 

Sum of the numbers is 216 

∴ 31x + 23x = 216 

∴ 54x = 216 

∴ x = 4 

∴ First number = 31x = 31 x 4 = 124 

Second number = 23x = 23 x 4 = 92

∴ The two numbers are 124 and 92.



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