Question

A is 2 years older than B while B is 3 year younger
than C. The ratio of age of A 6 years hence and B 2
years ago is 5:3. What was age of C 6 years ago?
{a)12 years (b)19 years (c)15 years
(d)14 years (e) 21 years

Answer 1

Answer:

14 Years

Step-by-step explanation:

Given that

A - B = 2 years ---- (1)

C - B = 3 years ---- (2)

As per the question, the ratio will be

A:B = 5x-6 : 3x+2

Substitute the ratio in eq (1)

¶ A - B = 2 years

¶ (5x-6)-(3x+2) = 2

¶ 5x-6 - 3x-2 = 2

¶ 2x - 8 = 2

¶ 2x = 10

¶ x = 5 years

A's Present age = 5(5)-6 = 19 years

B's present age = 3(5)+2 = 17 years

Substitute B's Age in eq (2)

¶ C - B = 3 years

¶ C - 17 = 3

¶ C = 20 Years

C's Present Age = 20 years

C's Age 6 years Ago = 20 - 6

= 14 years