what is the average age of A and B ?
The ratio between one-fifth of A’s age one-fourth
of B’s age is 1;2
The produ

1 thought on “what is the average age of A and B ?<br />The ratio between one-fifth of A’s age one-fourth<br />of B’s age is 1;2 <br />The produ”

1. Answer:

   Let the present age of A be ‘x ‘ years & B be y years.

   x = y-10

   x-y = -10

   Four years hence A= (x +10) years

   Four years hence B = ( y+ 10) years

   x+10/y+10 = 3/5

   5(x+10) = 3(y+10)

   5x+50 = 3y + 30

   5x-3y = 30–50

   5x-3y = -20 ————(2)

   Multiplying first equation by 3

   3x-3y = -30 ————(3)

   Subtraction (2) – (3)

   2x= 10

   x = 5

   Substituting x= 5 in equation (1)

   5= y-10

   y= 15

   Verification

   x+10/y+15

   = 5+10/15+10

   =15/25

   = 3/5

   Present age of A is 5 years & B is 15 years.

   Step-by-step explanation:

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