Question

Five years ago, Joy was thrice as old as Mary and ten years later, joy shall be twice as old as Mary. what are the present ages of joy and mary?

Answer 1

Let the present age of joy and marry be X and Y.

BEFORE 5 YEARS AGE OF JOY = X-5

BEFORE 5 YEARS AGE OF MARRY = Y-5

A/Q,

X-5 = 3(Y-5)

X-5 = 3Y -15

X-3Y = -15+5

X-3Y = -10

X = -10+3Y ...........(1)

AGAIN,

AFTER 10 YEARS AGE OF JOY = X+10

AFTER 10 YEARS AGE OF MARRY = Y+10

A/Q,

X+10 = 2(Y+10)

X+10 = 2Y+20

X-2Y = 20-10

X-2Y = 10

PUTTING THE VALUE OF X IN,

X-2Y = 10

-10+3Y -2Y = 10

Y = 10+10

Y = 20 YEARS

AGE OF JOY = -10+3Y = -10+3×20 = -10+60 = 50 YEARS.

HENCE,

THE PRESENT AGE OF JOY IS 50 YEARS.

AND,

THE PRESENT AGE OF MARRY IS 20 YEARS.

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Answer 2

According to question,the equations wl be:-
five years ago means-
let the present ages of joy and Mary be x and y,respectively.

ATO,
by solving equations u wl get the ages....