Question

the sum of the ages of a son and his father in years is 40 and product of their ages is 256. find their ages

Answer 1

Step-by-step explanation:

The sum of the ages of a father and his son is 40 years.If they both live until

the son becomes as old as the father is now, the sum of their ages will be 96 years .

Find their present ages.

:

Let f = father's age

Let s = son's age

:

Write an equation for each statement.

"The sum of the ages of a father and his son is 40 years.'

f + s = 40

s = (40-f)

:

If they both live until the son becomes as old as the father is now, the sum of their ages will be 96 years. "

f + f + (f-s) = 96

2f + (f-s) = 96

3f - s = 96

3f -(40-f) = 96

3f - 40 + f = 96

4f = 96 + 40

4f = 136

f = 136/4

f = 34 is father's age

then

40 - 34 = 6 yrs is son's age

:

:

Check this: the dif in their ages 34-6 = 28;

34 + 28 + 6 + 28 = 96