A two digits number is 4 times the sum and 3 times the product of its digit. The number is
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The number is 10x+y.
Now, acc. to ques.:
10x+y=4(x+y)=3xy
=>10x+y=4x+4y
=>6x=3y
=>2x=y
Put this value in the term containing multiplication.
=>Taking 2nd and 3rd term and substituting x=y/2.
=>6y=3/2
=>y=4 and x=2
=> number is 24.
Now, acc. to ques.:
10x+y=4(x+y)=3xy
=>10x+y=4x+4y
=>6x=3y
=>2x=y
Put this value in the term containing multiplication.
=>Taking 2nd and 3rd term and substituting x=y/2.
=>6y=3/2
=>y=4 and x=2
=> number is 24.
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