Seven years ago, the age of Sahil was equal to the present age of Nihal. Sum of Sahil's age 5 year ago and Nihal's age 6 years later is 58 years. If Ruchi is 4 years elder to Sahil, then what will be Ruchi's age (in years) after 10 years?

• 38 years

• 46 years

• 42 years

• 36 years

B.

46 years

Let the present age of Nihal be x years.
∴    Age of sahil 7 years ago =  x
∴   Present age of Sahil = x + 7
Now,
According to the question
(x + 7 - 5) + (x + 6) = 58
⟹  x + 7 - 5 + x + 6 = 58
 ⟹   2x + 8 = 58
 ⟹   2x = 50
 ⟹    x = 25 yrs
Ruchi  = x + 7 + 4 = 25 + 11 = 36 yrs
∴  Ruchi's age after 10 yrs
                  = 36 + 10 = 46 yrs