1.

Sum of X and Y age 7 year ago is 86. X age 20 year ago is equal to Y age 4 year ago. Find the age of Y four year hence.1). 48 years2). 50 years3). 46 years4). 52 years

Answer»

Let the PRESENT AGE of X and Y are x and y respectively.

Sum of X and Y age 7 YEAR ago is 86

⇒ (x - 7) + (y - 7) = 86

⇒ x + y = 100-----(i)

X age 20 year ago is equal to Y age 4 year ago.

x - 20 = y - 4

⇒ x - y = 16-----(ii)

Solving the equation (i) and (ii)

Present age of X = 58 years

Present age of Y = 42 years

Age of Y four year hence = 42 + 4 = 46 years


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