Sum of the ages of friends is 30 yrs, 5 yrs ago, product of their age is 96. Is this information correct? If yes, find the ages of the,

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Solution

Sum of the ages $= 30, 5$
Product of their ages $= 96$
The equation is $x^{2} - 35 x + 96 = 0$
$\Rightarrow x^{2} - 3 x - 32 x + 96 = 0$
$\Rightarrow x (x - 3) - 32 (x - 3) = 0$
$\Rightarrow x - 3 = 0, x - 32 = 0$
$\Rightarrow x = 3, 32$
$∴$ their ages are $3$ years and $32$ years

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Sum of the ages of friends is 30 yrs, 5 yrs ago, product of their age is 96. Is this information correct? If yes, find the ages of the,

Sum of the ages=30,5Product of their ages=96The equation is x2−35x+96=0 ⇒x2−3x−32x+96=0⇒x(x−3)−32(x−3)=0⇒x−3=0,x−32=0⇒x=3,32∴ their ages are 3 years and 32years

Sum of the ages $= 30, 5$
Product of their ages $= 96$
The equation is $x^{2} - 35 x + 96 = 0$
$\Rightarrow x^{2} - 3 x - 32 x + 96 = 0$
$\Rightarrow x (x - 3) - 32 (x - 3) = 0$
$\Rightarrow x - 3 = 0, x - 32 = 0$
$\Rightarrow x = 3, 32$
$∴$ their ages are $3$ years and $32$ years