two digit number is 5 times the sum of its digits and is also equal to 5 more than twice the product of the digits.find the number
Answers
Answered by
0
Answer:
92928888888888888888888788
Answered by
1
Answer:
45
Step-by-step explanation:
Let the number be 10x+y
According to question, we have,
10x+y=5(x+y)
=>10x+y=5x+5y
=>5x=4y
Also, 10x+y−2xy=5
=>10x+
4
5x
−2x×
4
5x
=5
=>10x+
4
5x
−
4
10x
2
=5
=>40x+5x−10x
2
=20
=>10x
2
−45x+20=0
=>2x
2
−9x+4=0
=>2x
2
−8x−x+4=0
=>2x(x−4)−1(x−4)=0
=>(2x−1)(x−4)=0
=>x=4
y=
4
5x
=
4
5×4
=5
Required number is 10×4+5
=45
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