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Jera and Bipu are friends. Jera’s age 5 years ago was 20 less than Bipu’s age in 8 years. Bipu’s age 5 years ago was 34 years less than twice Jera’s age in 8 years. How old are they at present?

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sqdancefan

Answer:

  • Jera is 20
  • Bipu is 27

Step-by-step explanation:

Let j and b represent Jera's and Bipu's current ages.

  j-5 = (b +8) -20 . . . . . Jera's age 5 years ago was 20 less than Bipu's age in 8 years

  b-5 = 2(j+8) -34 . . . . .Bipu's age 5 years ago was 34 less than Jera's age in 8 years

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Solving the first equation for j gives ...

  j = b + 8 -20 + 5

  j = b -7

Using that in the second equation, we get ...

  b -5 = 2((b -7)+8) -34

  0 = b -27 . . . . . . . subtract (b-5) and simplify

  b = 27

  j = 27 -7 = 20

Jera is 20; Bipu is 27.

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