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Lia is eight years younger than Kath. Find their ages if the sum is 92. ​

Sagot :

Answer:

Lia-42

kath-50

hope it helps

Problem:

Lia is eight years younger than Kath. Find their ages if the sum is 92.

Solution:

Let x be the Kath's age

Then let x + 8 be the Lia's age

In representation:

Find their ages if the sum is 92.

  • (Kath's age) + (Lia's age) = 81
  • x + (x + 8) = 92

Solve the value of x which is the Kath's age to the problem equations.

  • x + (x + 8) = 92
  • 2x + 8 = 92
  • 2x = 92 - 8
  • 2x = 84/2
  • x = 42

Substitute the Lia's age to the present age which is the value of x to the solving the problem equation.

  • Lia's age = x + 8
  • Lia's age = (42) + 8
  • Lia's age = 50

Checking:

Checking the age's if the answer is correct.

  • (Kath's age) + (Lia's age) = 81
  • x + (x + 8) = 92
  • (42) + (42 + 8) = 92
  • 42 + 50 = 92
  • 92 = 92 ✔

Answer:

∴ Therefore, the present age of Kath is 42 yrs old and Lia is 50 yrs old.

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