Question

12. A two digit number is four times the sum and three times the product of its
the number.
13. The hypotenuse of a right angled triangle is 17 cm long and the deference ben
other two sides is 7 cm. Find the length​

Answer 1

Answer:12

Let the two digit number be 10y+x

it is given that 10y+x=4(x+y)...(1)

and 10y+x=3xy...(2)

So, 10y+x=4x+4y and

⇒63y=3x

⇒2y=x

Substituting in (2)

10y+2y=6y

2

⇒12y=6y

2

⇒2=y

⇒x=4

∴ The number is 10×2+4=24

Answer 13: Let one side be x.

Then other side is x+7

x²+(x+7)²=289 Pythagoras Theorem

x²+x²+14x+49=289

2x²+14x-240=0

x²+7x-120=0

(x+15)(x-8)=0

x=-15 or 8

Length cannot be -ve

so x=8

Length of one side =8cm

Length of other side=15cm