Question

Q1.three times as old as her son 5 years hence the sum of their ages will be 70 years find their present ages​

Answer 1

Explanation:

✬ Son's Age = 15 Years ✬

✬ Mother's Age = 45 Years ✬

Step-by-step explanation:

Correct Question:

Mother is three time as old as her son 5 years hence the sum of their ages will be 70 years find their present ages.

Given:

Mother is 3 times as old as her son.

After 5 year sum of their ages will be 70 years.

To Find:

Present ages of both ?

Solution: Let the present age of son be x years. Therefore ,

➮ Present age of mother = 3 times of x

➮ 3x years

[ After 5 years their ages will be ]

Son's age = (x + 5) years

Mother's age = (3x + 5) years

A/q

$\implies{\rm }⟹ ( Mother's + Son's )age = 70$

$\implies{\rm }⟹ 3x + 5 + x + 5 = 70$

$\implies{\rm }⟹ 4x + 10 = 70$

$\implies{\rm }⟹ 4x = 70 – 10$

$\implies{\rm }⟹ 4x = 60$

$\implies{\rm }⟹ x = 60/4$

$\implies{\rm }⟹ x = 15$

So present age of son is 15 years and present age of mother is :-

➠ 3x

➠ 3 × 15 = 45 years

Answer 2

✬ Son's Age = 15 Years ✬

✬ Mother's Age = 45 Years ✬

Step-by-step explanation:

Correct Question:

Mother is three time as old as her son 5 years hence the sum of their ages will be 70 years find their present ages.

Given:

Mother is 3 times as old as her son.

After 5 year sum of their ages will be 70 years.

To Find:

• Present ages of both ?

Solution:  

➮ Present age of mother = 3 times of x

➮ 3x years

[ After 5 years their ages will be ]

• Son's age = (x + 5) years

• Mother's age = (3x + 5) years

A/q

 

↠( Mother's + Son's )age = 70

↠3x + 5 + x + 5 = 70

↠ 4x + 10 = 70

↠4x = 70 – 10

↠ 4x = 60

↠ x = 60/4

↠ x = 15

So present age of son is 15 years and present age of mother is :-

➠ 3x

➠ 3 × 15 = 45 years