Question

the Man's age is four times the age of his three children.In 8 yrs he will be twice the sum of their age.

What's man age ​

Answer 1

Answer:

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Answer:

Man's present age is 80 years.

Step-by-step explanation:

Given :

Man's age = 4 times the sum of his 3 children

After 8 years = Man will be twice the sum is his children's ages.

To find :

The present age of the man

Solution :

✯ {Let the present ages be - }}}Let the present ages be - 

Sum of his children = y

The man = 4y



✯ {Ages after 8 years }Ages after 8 years -

Children = y + (8 + 8 + 8)

The man = 4y + 8



✯ {According to the question -}}}According to the question -

After 8 years = Man will be twice the sum is his children's ages.

4y + 8 = 2(y + 24)

4y + 8 = 2y + 48

4y - 2y = 48 - 8

2y = 40

y = 20

⟹4y+8=2(y+24)⟹4y+8=2y+48⟹4y−2y=48−8⟹2y=40⟹y=240⟹y=20

Sum of the ages of his children = 20 years



✯ {Man's age - }}}Man’s age - 

4(20)}⟹4(20)⟹80

Man's age = 80 years

therefore∴ Man's present age is 80 years.