a 2 digit number is 4 times the sum of the digits it is also equal yo 3 times thr product of its digits find the number
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Answer:-
24 or 42
Step-by-step explanation:-
Let unit-place digit be x and tenth-place digit be y. then number is x+10y
Given : Number equals 4 times of sum of digits, x+10y = 4(x+y) or 3x-6y = 0 or x = 2y ....(1)
Given: Number equals 3 times product of its digits, x+10y = 3(xy) ...(2)
By substituting for x from eqn.(1) , eqn.(2) is written as, 12y = 6y2 or y = 2 hence x = 4
number is 20+4 = 24
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