Question

At present, the age of Riya's mother is seven times the age of Riya. Ten years hence, the age of mother will be three times the age of Riya. Find their present age.​

Answer 1

Answer:

Step-by-step explanation:

Let mother's age be X

10 years hence mother will be X+10

Let Riya's age be Y

10 years hence Riya will be Y+10

Given:

X = 7Y

X+10=3(Y+10)

X-7y=0

X-3Y=20

Solving the above equations

4Y=20

Y=5

Substituting for y in eqn 1

X=7×5

Mother's age = 35 years

Riya's age. = 5 years

Answer 2

mother's age=X

10 years hence mother will be X+10

Riya's age=Y

10 years hence Riya will be Y+10

Given:

X = 7Y

X+10=3(Y+10)

X-7y=0(y*7 =x)

X-3Y=20

Solving the above equations

4Y=20

Y=5

Substituting for y in eqn 1

X=7×5

Mother's age = 35 years

Riya's age. = 5 years

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