a two digit number is four times the sum of sihits it is also equal to 3 times the peosucts of digits dind the number
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let the ten's digit be x and unit's digit be y
10x + y
by question,
10x + y = 4(x+y)
10x+y = 4x+4y
10x-4x = 4y-y
6x = 3y
y = 6x/3
y = 2x...(1)
also, 10x+y = 3(x.y)
10x+y = 3xy
10x+2x = 3x.2x {using(1)}
12x = 6x2
6x2-12x =0
6x(x-2) = 0
x-2 = 0
x = 2
putting x = 2 in (1)
y = 2.2 = 4
the required no. = 10x2+4 = 20+4 = 24
10x + y
by question,
10x + y = 4(x+y)
10x+y = 4x+4y
10x-4x = 4y-y
6x = 3y
y = 6x/3
y = 2x...(1)
also, 10x+y = 3(x.y)
10x+y = 3xy
10x+2x = 3x.2x {using(1)}
12x = 6x2
6x2-12x =0
6x(x-2) = 0
x-2 = 0
x = 2
putting x = 2 in (1)
y = 2.2 = 4
the required no. = 10x2+4 = 20+4 = 24
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