Question

give me this question answer quckli ​

Answer 1

Answer:

10 years

Step-by-step explanation:

Let the present age of Sameer be x

then 5 years ago,

x-5

then 2 years later,

x+2

ATQ,

(x-5)(x+2) = 60

x²+2x-5x-10 = 60

x²-3x-70 = 0

x²-10x+7x-10 =0

x(x-10)+7(x-10) = 0

(x-10)(x+7) = 0

x= 10 or -7

since age cannot be negative, so x= 10

therefore present age of sameer = 10 years

verification,

5 years ago he was 10-5=5 years

2 years later he will be 10+2=12 years

therefore product of age = 5×12=60 years

Answer 2

Let the present age of Samir be $x.$

5 years ago his age would be $x-5.$

2 years after his age will be $x+2.$

Given that the product of these ages is 60.

$\longrightarrow(x-5)(x+2)=60$

$\longrightarrow x^2-3x-10=60$

$\longrightarrow x^2-3x-10-60=0$

$\longrightarrow x^2-3x-70=0$

$\longrightarrow x^2-10x+7x-70=0$

$\longrightarrow x(x-10)+7(x-10)=0$

$\longrightarrow (x-10)(x+7)=0$

$\Longrightarrow x=10\quad OR\quad x=-7$

Since age can't be a negative number,

$\longrightarrow\underline{\underline{x=10}}$

Hence 10 is the answer.