Q7 of 59 Page 63

(x + 3):(x + 11) = (x - 2):(x + 1) then find the value of x.

Given: (x + 3):(x + 11) = (x - 2):(x + 1)


⇒ (x + 3)/(x + 11) = (x - 2)/(x + 1)


Cross multiply and obtain:


⇒ (x + 3)(x + 1) = (x - 2)(x + 11)


⇒ x2 + 4x +3 = x2 + 9x - 22


⇒ 4x + 3 = 9x - 22


⇒ 9x – 4x = 3 + 22


⇒ 5x = 25


⇒ x = 5


∴ x = 5


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