Question

1\x+1\y=1\24 , 2\x+1\y=1\8​

Answer 1

Step-by-step explanation:

1/x +. 1/y = 1/24. .......(i)

2/x +1/y =1/8. .......(ii)

solving ( i)

LCM= xy

so,

1y+1x / xy = 1 /24

y+ x = xy/24 ........( iii)

solving (ii)

LCM= xy

so,

2y+x/xy= 1/8

2y+x= xy/8. .........(iv)

now subtract (iii) from (iv)

you will get

y= xy/8 - xy/24

LCM= 24

y = 3xy -xy /24

y= x/12

substitute the value of y in ( i)

1/ x + 12/ x = 1/24

13 /x = 1/24

so, x= 24× 13= 312

now us this value in (i)

1/312+1/y = 1/24

so, value of y will come as 26.