Question

A father is 30 yr older than hid son however he will be only thrice as old as the son after 5 years what is father's present age

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

OK. Let's say that we represent the son's age as x and the father's age as y. We are left with 2 equations:

Equation 1 is an equation with two variables with a linear relationship:

X + 30 = y —(1)

For equation 2, we can see how the boys age changes after 12 years. If the father's age is 3 times that of the son's, then we can express the son’s age as a variable of time of 12 years and relative to the age ratio of 3:1;

Y+ 12 = 3(x +12) —(2)

Expanding the brackets we get:

Y + 12 = 3x + 36—(3)

Using equations 1 and 3, we can equate them by having y as the subject of the formula in both cases:

X + 30 = 3x + 24

Grouping like terms,

30 - 24 = 3x - x

6 = 2x

3 = x

Now since we have solved for x, we can substitute to find y, the father's age:

X + 30 = y

3 + 30 = y = 33

So the current ages for the father and son are 33 and 3 respectively. Adding 12 years to both, you will get 45 for the father and 15 for the son; a perion where the father is exactly 3 times older than the son!

Hope this helps! :)