a number of two digit is equal to four Times the sum of the digits if the product of the digits is 18. find the number
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1
Answer:
Let 10y+x be the two digit numbers
Given 10y+x=4(y+x)
⇒10y+x=4y+4x
⇒10y−4y=4x−x
6y=3x
⇒x=
3
6
y
⇒x=2y ___________ (1)
and also. 10y+x=3yx
⇒10y+2y=3y(2y) [from (1)]
⇒12y=6y
2
⇒12=6y
⇒y=2 from (1),
x=2(2)=4
Hence the required numbers = 10(2)+4=20+4=24
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