Question

The average age of rustam and preetam is 39 years. The average age of preetam and geetam is 28 years. The average age of rustam and geetam is 34 years. What will be the age (in years) of the youngest of the three after 10 years?

Answer 1

Answer:

youngest is geetam

after 10 years geetam will be 33 years

Step-by-step explanation:

let rustam age be x, preetam age be y and geetam age be z

(x + y)/2 = 39; x + y = 78 equ (1)

(y + z)/2 = 28; y + z = 56 equ (2)

(x + z)/2 = 34; x + z = 68 equ (3)

adding the three equation

2x + 2y + 2z = 78 + 56 + 68

2(x + y + z) = 202

x + y + z = 202/2

x + y + z = 101

x + 56 = 101 (since y + z = 56)

x = 101 - 56

x = 45

y + 68 = 101 (since x + z = 68)

y = 101 - 68

y = 33

z + 78 = 101 (since x + y = 78)

z = 101 - 78

z = 23

therefore the youngest is geetam who is 23 years

after 10 years geetam will be 33 years

hope you get your answer