Question

Renu's mother is 4 times as old as Renu. After 5 years, her mother will be three times as old as she will be then. What are thuer present ages?

Answer 1

Let Renu be x years old.

Mother = 4x

.

5 years later,

Renu = x + 5

Mother = 4x + 5

.

5 years later, mother will be 3 times as old as Renu:

4x + 5 = 3( x+ 5)

.

Solve x:

4x + 5 = 3( x+ 5)

4x + 5 = 3x + 15

x = 10

.

Find their present age:

Renu = x = 10

Mother = 4x = 4(10) = 40

.

Answer: Renus is 10 years old and her mother is 40 years old.

Answer 2

Answer:

Let Renu age be =x +5

Let mother age be = 4x+5

4x+5=3(x+5)

4x-3x=15-5

x=10

4x=40

Renu age=10 yrs

Mother's age=40 yrs