The sum of ages of Fahad and Ahmed is 38. Seven years ago, Fahad was 3 times as old as Ahmad. Find the age of Fahad and Ahmed

Ahmad's age is 13 and Fahad's age is 25

Step-by-step explanation:

Let us consider Ahmad's age be 'a' and Fahad's age be 'f'.

Given that the sum of both their ages is 38

a + f = 38

f = 38 - a

Seven years ago both their age will be 7 less from now. So,

Ahmad's age will be (a-7) and Fahad's age will be (f - 7) and the given condition is that Fahad was 3 times as old as Ahmad.

(f - 7) = 3 (a - 7)

f - 7 = 3a - 21

We can now substitute the f value in terms of a

(38 - a) - 7 = 3a - 21

38 - a - 7 + 21 = 3a

38 - 7 + 21 = 3a + a

52 = 4a

a = 52 / 4

a = 13

If a = 13 then

f = 38 - a

f = 38 - 13

f = 25

Ahmad's age is 13 and Fahad's age is 25.