If three times the larger number of the two numbers is divided by the smaller one,we get 4 as the quotient and 3 as the remainder.Also ,if seven times the smaller number is divided by the larger one,we get 5 as quotient and 1 as the remainderr,find the numbers.

Asked by Praveen Kumar | 15th Jul, 2013, 12:31: PM

Expert Answer:

Let the larger number be x and smaller number be y 
Hence, 3x  = 4y+3 (1)
7y = 5x + 1 (2)
 
Multiplying equation (1) by 5 and equation(2) by 3
15x = 20y + 15
21y = 15x + 3
Adding
21y = 20y + 18
y = 18
 
3x = 4(18) + 3 = 75
x = 25
 
Hence, the 2 numbers are 18 and 25. 

Answered by  | 15th Jul, 2013, 10:11: PM

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