= 4. The sum of Ben's and David's ages is 62 yrs now. Five years from now David will be twice as old as Ben. How old is Ben now?​

Respuesta :

The age of ben and david is 24 and 38 years.

According to the statement

we have to find the age of the Ben now.

So,For this purpose, we know that the

One application of linear equations is what are termed age word problems. When solving age problems, generally the age of two different people (or objects) both now and in the future (or past) are compared.

From the given information:

The sum of Ben's and David's ages is 62 yrs now

And

Five years from now David will be twice as old as Ben.

Let the ben age is x

and the david age is y.

So, from given information:

x+y = 62  -(1)

5 years from now,

y = 2x  -(2)

put (2) in the (1) then

x+y = 62 -5

x+2x = 57

3x = 57

x = 19.

And the age of davud become

y = 2(19)

y = 38 years

So, five years from now the age of ben is 19 and david is 38 years.

And now the age of the ben and age of david is

Age of ben now = 19+5

Age of ben now = 24.

Age of david now  = 62 -24

Age of david = 38.

So, The age of ben and david is 24 and 38 years.

Learn more about age word problems here

https://brainly.com/question/13818690

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