The sum of two numbers is 15, if the sun of their reciprocals are 3/5,find the numbers
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let one number be x
therefore other number=15-x
according to the question,
1/x+1/(15-x)=3/5
taking LCM
(15-x+x)/(15x-x²)=3/5
cross multiply
15*5=3*(15x-x²)
75=45x-3x²
3x²-45x+75=0
taking 3 common
x²-15x+25=0
now solve the equation
u will find the value of x
thus u can find the numbers
.
.
.
even if my answer is wrong ,calculate it once
but the method is correct
HOPE IT HELPS U__:-
therefore other number=15-x
according to the question,
1/x+1/(15-x)=3/5
taking LCM
(15-x+x)/(15x-x²)=3/5
cross multiply
15*5=3*(15x-x²)
75=45x-3x²
3x²-45x+75=0
taking 3 common
x²-15x+25=0
now solve the equation
u will find the value of x
thus u can find the numbers
.
.
.
even if my answer is wrong ,calculate it once
but the method is correct
HOPE IT HELPS U__:-
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