1.

the ratio between the present ages of a and b is 2 : 3 five years ago their age was 7 : 1 find the present ages of a and b​

Answer»

Given :-

  • The RATIO between the present AGES of a and b is 2 : 3 five years ago their age was 7 : 1.

To FIND :-

  • The present age of a and b = ?

Solution :-

  • Let present age of a and b be 2x and 3x respectively.

★ 5 years ago :-

  • Age of a = 2x - 5
  • Age of b = 3x - 5

★ According to Question now :-

➻ 2x - 5 ÷ 3x - 5 = 7 ÷ 1

By Cross multiplication we get :-

➻ (2x - 5) 1 = 7 (3x - 5)

➻ 2x - 5 = 21x - 35

Combining LIKE terms :-

➻ -5 + 35 = 21x - 2x

➻ 30 = 19x

➻ x = 30 ÷ 19

➻ x ≈ 1.5

Hence,

  • Present age of a = 2x = 2(1.5) = 3 years
  • Present age of b = 3x = 3(1.5) = 4.5 years


Discussion

No Comment Found

Related InterviewSolutions