Question

Hamid is 5 years older than shanaz. Their product is 176

how old is hamid
how old is shanaz

Answer 1

16 and 11

Explanation:

let Shanaz's age be n then Hamid is n + 5 and the product is

n(n + 5) = 176 ← distribute left side

n² + 5n = 176 ( subtract 176 from both sides )

n² + 5n - 176 = 0 ← in standard form

(n + 16)(n - 11) = 0 ← in factored form

Equate each factor to zero and solve fpr n

n + 16 = 0 ⇒ n = - 16

n - 11 = 0 ⇒ n = 11

But n > 0 , so n = 11 and n + 5 = 11 + 5 = 16

Hamid is 16 and Shanaz is 11

Answer 2

11

Explanation:

x(x+5)=176

x^2+5x-176=0

using quadratic formula:

x1= 11

x2= -16

- age is impossible thus the answer is 11