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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 benother two sides is 7 cm. Find the length​

Answer»

12 Let the two DIGIT NUMBER be 10y+xit is given that 10y+x=4(x+y)...(1)and 10y+x=3xy...(2)So, 10y+x=4x+4y and ⇒63y=3x⇒2y=xSubstituting 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+7x²+(x+7)²=289 Pythagoras Theoremx²+x²+14x+49=2892x²+14x-240=0x²+7x-120=0(x+15)(x-8)=0x=-15 or 8Length cannot be -veso x=8Length of one side =8cmLength of other side=15cm


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