laxhiggins laxhiggins
  • 10-02-2020
  • Mathematics
contestada

Andrew is 50 years younger than Natasha. 6 years ago, Natasha's age was 3 times Andrew's age. How old is Andrew now?

Respuesta :

bhuvna789456
bhuvna789456 bhuvna789456
  • 12-02-2020

Natasha's age is 81 years and Andrew's age is 31 years

Step-by-step explanation:

  • Step 1: From the given details, let the age of Natasha be x, then age of Andrew is x - 50.
  • Step 2: Form equations out of their details of ages 6 years ago.

⇒ x - 6 = 3(x - 50 - 6)

⇒ x - 6 = 3(x - 56)

⇒ x - 6 = 3x - 168

⇒ 2x = 162

⇒ x = 81

  • Step 3: Calculate Andrew's age

x - 50 = 81 - 50 = 31

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