Question

9.
The ratio of the present ages of Chinta and
Mani is 14:19. The average age of Suknaya,
Chinta and Mani is 43 years. If the ratio of
present age of Suknaya to that of Chinta is
5:7, find the present age (in years) of Mani.
(1) 28
2) 42
(3) 57
(4) 56

Answer 1

Answer:

jjrfucug to be able you are doing great and we are looking to get

Answer 2

Present age  of Mani  57 years

Option C is correct.

Step-by-step explanation:

Given that

The ratio of  present age of Suknaya to that of Chinta is =  5 : 7

The ratio of the present ages of Chinta and  Mani is =  14 : 19

Thus the ratio of present age of Suknaya to that of Chinta to that of mani is

10 x : 14 x : 19 x

Since average age of three girls is = 43 years

Thus the total age of three girls is = 43 × 3 = 129 years ---- (1)

Total age of three girls is =  10 x + 14 x + 19 x = 43 x ------- (2)

⇒ Equation 1 = Equation 2

⇒ 43 x = 129

⇒ x = 3

Thus the present age  of Mani = 19 x -------- (3)

Put the values of x in above equation

⇒ Present age  of Mani = 19 × 3 = 57 years

Therefore option C is correct.