Question

Shan's present age is 1.6 times 4 years less than Amit's age 26 years ago Amit's age was half a year less than Shan's age, how old is Shan's present age?


शान की वर्तमान आयु अमित की आयु की 1.6 गुना से 4 बरस कम हे 26 बरस पहले अमित की आयु शान की आयु के आधे से एक बरस कम थी शान की वर्तमान आयु कितनी बरस हे

A 68
B 84
C 76
D 60

Answer 1

60 is the answer of this question

Answer 2

Answer:

( C ) 76

Step-by-step explanation:

Let Shan age be x and Amit's age be y

According to question

x = 1.6y - 4 --- eqn (1)

26 yrs ago

y - 26 = 1/2(x - 26 ) - 1 --- eqn (2)

substituting eqn (1) in eqn (2)

y - 26 = 1/2 (1.6y - 4 - 26) - 1

y - 26 + 1 = 1/2 (1.6y - 30)

y - 25 = 0.8y - 15

y - 25 + 15 = 0.8y

y - 10 = 0.8y

Subtracting 0.8y in both sides

y - 10 - 0.8y = 0.8y - 0.8y

y -0.8y - 10 = 0y

0.2y = 10

y = 10/0.2 (or) 100/2

y = 50

substituting y = 50 in eqn (1) we get

x = 76

Hence Shan's age is 76.