Question

Average of age of A and twice the age of B is 40 and that of twice of age of A and age of B is 44 years. What is the average age of A and B ?

1) 28 years

2) 29 years

3) 30 years

74

4) 32 years

5) 42 years​

Answer 1

Answer:

1) 28 years

Step-by-step explanation:

Let A be x, B be y,

(x+2y)/2 = 40 and (2x+y)/2 = 44

x+2y = 80 and 2x+y = 88

Doubling equation 1 and subtracting equation 2 from equation 1,

(2x+4y)-(2x+y) = 160-88

3y = 72

y = 24 years

Plugging in equation 1,

x + 48 = 80

x = 32 years

Average of A and B = (x+y)/2 = (32+24)/2 = 56/2 = 28 years

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