Question

A mother is 3 times a old as her son
after 15 years, her age will be twice the
age of the son. Find their present ages​

Answer 1

Answer:

45

Step-by-step explanation:

the mother's present age is 45

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Answer 2

Answer :-

• Present age of the son = 15 years.
• Present age of the mother = 45 years.

Given :-

• A mother is 3 times as old as her son.
• After 15 years, her age will be twice the age of the son.

To find :-

• Their present ages.

Step-by-step explanation :-

• Let the present age of the son be x.

• His mother is 3 times as old as him, so her present age will be 3x.

After 15 years,

• Son's age will be x + 15.
• Mother's age will be 3x + 15.

• It has been given that after 15 years, the mother will be twice as old as her son.

• Twice his son's age after 15 years = 2 (x + 15)

• Now, 3x + 15 and 2 (x + 15) must be equal.

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$\sf \implies 3x + 15 = 2 \: (x + 15)$

$\sf \implies 3x + 15 = 2x + 30$

$\sf\implies 3x - 2x = 30 - 15$

$\sf\implies x = 15.$

• The value of x is 15.

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Hence, their present ages are as follows :-

$\bf x = 15.$

$\bf3x = 3 \times 15 = 45.$