8. A two digit number is such that the
product of its digits is 12. When 36 is
added to the number, the digits
interchange their places. Find the
number:
(1) 62
(2) 60
(3) 26
(4) 20
Answers
Answered by
2
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
Answered by
0
Answer:
(3) 26
Step-by-step explanation:
2*6=12
26+36=62
both the conditions satisfied
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