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Joaquin is four more than half Marjorie’s age. Marjorie is also 32 less than three times Joaquin’s age.

How old is Marjorie?


a.24 years old


b.28 years old


c.40 years old


d.54 years old

Respuesta :

From the relationship in age between Joaquin and Marjorie, we can say that;

Marjorie is 40 years Old.

  • Let Joaquin's age be x
  • Let Marjorie's age be y.

  • We are told that Joaquin is four more than half Marjorie’s age.

Thus; x = ¹/₂y + 4  ---(eq 1)

  • Also, Marjorie is also 32 less than three times Joaquin’s age.

Thus; 3x - 32 = y ---(eq 2)

  • Let's put ¹/₂y + 4 for x in eq 2;

3(¹/₂y + 4) - 32 = y

3y/2 + 12 - 32 = y

3y/2 - y = 20

y/2 = 20

Multiply both sides by 2 to get;

y = 20 × 2

y = 40 years

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