A two digit number is 4 times the sum of the digits. it is also equal to 3 times the product of the digits. find the number .
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Step-by-step explanation:
let the two digit no. be 10x+y
according to question
10x+y=4(x+y)
10x+y=4x+4y
10x-4x=4y-y
6x=3y
y=2x.......(i)
again according to question
10x+y=3xy
10x+2x=3×x×2x .......... from equation (i)
12x=6x²
x=2
=>y=2x=2×2=4
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