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Hello Sir/Mam,
could you please help me solve this query of mine?
If the sum of two numbers is increased by 5 and the result is divided by 10, the quotient will exceed their difference by 2. 1/6 of the greater number is equal to 1/3 of the smaller number diminished by 10. find the two numbers.

Asked by Bhawna 4th March 2015, 6:19 PM
Answered by Expert
Answer:

 

begin mathsize 16px style Let space the space greater space number space be space straight x space space Let space the space smaller space number space be space straight y space space According space to space the space given space information comma space left parenthesis straight x space plus space straight y space plus space 5 right parenthesis space divided by 10 equals left parenthesis straight x space minus space straight y right parenthesis space plus space 2 therefore space left parenthesis straight x space plus space straight y space plus space 5 right parenthesis space equals space 10 space left parenthesis straight x space minus space straight y space plus space 2 right parenthesis therefore left parenthesis straight x space plus space straight y space plus space 5 right parenthesis space equals space 10 straight x minus 10 straight y plus 20 rightwards double arrow 11 straight y space minus 9 straight x space equals space 15 space space........ space space left parenthesis 1 right parenthesis As space per space Given space information comma 1 over 6 straight x equals 1 third straight y minus 10 therefore straight x over 6 equals straight y over 3 minus 10 space therefore straight x space equals space fraction numerator 6 straight y over denominator 3 end fraction minus space 60 space therefore straight x space equals space 2 straight y space minus space 60 space space...... left parenthesis 2 right parenthesis Substituting space... left parenthesis 2 right parenthesis space in space.... space left parenthesis 1 right parenthesis 11 straight y space minus 9 left parenthesis 2 straight y space minus space 60 right parenthesis space equals space 15 space 11 straight y space minus space 18 straight y space plus space 540 equals 15 minus space 7 straight y space equals space minus space 525 space straight y space equals 75 Substituting space straight y space equals space 75 space in space straight x space equals space 2 straight y space minus space 60 straight x space equals space 75 straight x 2 space minus space 60 space equals 90 end style


Answered by Expert 4th March 2015, 6:35 PM
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