7. A two digit number is such that the product of its digits is 12. When 36 is added to this number, the
digits interchange their places. Find the number.
Answers
Answered by
0
Answer:
Let the ten's digit of the number be x
It is given that the product of digits is 12
Unit's digit=
x
12
Number=10x+
x
12
If 36 is added to the number the digitis interchange their places
∴10x+
x
12
+36=10×
x
12
+x
⇒10x+
x
12
+36=
x
120
+x⇒9x−
x
108
+36=0⇒x
2
+4x−12=0 (divided throughout by 9)
hence, required quadratic equation is x
2
+4x−12=0
Similar questions