Question

Two years ago A was thrice as old as B as 6 years later a will be four year older than twice the age of B how old are a and b.

Answer 1

Answer:

a=32, b=12

Step-by-step explanation:

Let b's present age be x

Age of b two years ago is x-2.

Age of b six years later will be x+6.

Let a's present age be y

Age of a two years ago is y-2.

Age of a six years later will be y+6.

Given,

y-2 = 3(x-2)

⇒y-2 = 3x-6

⇒3x-y = 4

⇒x = (4+y)/3................1

y+2 = 2(x+6+4)

⇒y+2 = 2x +10

⇒x = y-8/2..............2

From 1 and 2

y-8/2 = 4+y/3

⇒3y-24 = 8+2y

⇒y = 32

⇒x = 36/3

⇒x = 12

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Hope this helps!!