Question

if the sum of two number is 15 and sum of thier reciprocal is 1/30 find the numbers​

Answer 1

Hey dude,

here's your answer.✌✌

Let the two numbers are X and y

X+Y=15.....................(1)

SUMOF RECIPROCAL OF THAT TWO NUMBER=>1/X+1/Y=3/10

=>X+Y/XY = 3/10

=>X+Y = 3XY/10...........................(2)

SUBSTITUTE X+Y VALUE IN (2)

=>15*10 = 3XY

=>150 = 3XY

=>50=XY

=>Y=50/X..........................(3)

(3) IN (1)

X+50/X=15

X²+50=15X

X²-15X+50=0

X²-5X-10X+50=0

X(X-5)-10(X-5)=0

(X-10)(X-5)=0

X=10 AND X=5

SUBSTITUTE X VALUE IN (1)

10+Y=15 AND 5+Y=15

X=5 AND Y=10

HOPE THIS HELPS YOU.