a number consists of two digits unit digits is greater than tenth place digit by 8 . if the no. is more than the product of the digits by 10, find the number(ans:19)
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let the no. be 10x+y
given that: y = x+8
10x+y = xy+10
displace the value of y
10x + x + 8 = x(x+8) + 10
11x + 8 = x^2 +8x +10
x^2-3x+2 = 0
x = 1,2
y = 2,1
hence no. is 12
possibility of this no. is also there as this also follows the same condition
given that: y = x+8
10x+y = xy+10
displace the value of y
10x + x + 8 = x(x+8) + 10
11x + 8 = x^2 +8x +10
x^2-3x+2 = 0
x = 1,2
y = 2,1
hence no. is 12
possibility of this no. is also there as this also follows the same condition
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