Question

The present age of Rinku's mother is three times the present age of Rinku. After 4 years the sum of their ages is 60 years. Find the present age of Rinku.​

Answer 1

Answer:

13

Step-by-step explanation:

Let R be the present age of Rinku

Rinku's mother, M = 3 R

After 4 years, Rinku = R+4

Rinku's mother = M+4

After 4 years the sum of their ages is 60 years

$m + 4 + r + 4 = 60$

M = 3R

$3r \: + 4 + r + 4 = 60 \\ 4r + 8 = 60 \\ r = 13$

Present age of Rinku = 13

Answer 2

Answer :-

• The present age of Rinku is 13 years.

To find :-

• The present age of Rinku.

Step-by-step explanation :-

Let the present age of Rinku be "x" years.

Then :-

• The present age of her mother will be "3x" years, as the present age of her mother is three times her age.

After 4 years,

• Rinku's age will be "x + 4" years.
• Rinku's mother's age will be "3x + 4" years.

Given that :-

• After 4 years, the sum of their ages is 60 years.

Therefore,

$\hookrightarrow\sf(x + 4) + (3x + 4) = 60$

$\hookrightarrow\sf x + 4 + 3x + 4 = 60$

$\hookrightarrow\sf4x + 4 + 4 = 60$

$\hookrightarrow\sf4x + 8 = 60$

$\hookrightarrow\sf4x = 60 - 8$

$\hookrightarrow\sf4x = 52$

$\hookrightarrow\sf x = \dfrac{52}{4}$

$\hookrightarrow\sf x = 13$

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Hence, the present age of Rinku is :-

$\bf x = 13 \: years.$