Question

Anton is 4 years older than than Liza. The product of his age 3 years from now and Liza's age 2 years ago is 90 years. What is the age of Anton?

Answer 1

Answer:

a = z + 4

(a + 3)(z - 2) = 90

Substitute!

(z + 4 + 3)(z - 2) = 90

(z + 7)(z - 2) = 90

z2 + 5 - 14 = 90

z2 + 5 - 104 = 0

(z + 13)(z - 8) = 0

z + 13 = 0

z = -13

Impossible, so we disregard.

z - 8 = 0

z = 8

a = 8 + 4

a = 12

Answer 2

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