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Answers
Answer:
Step-by-step explanation:
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Step-by-step explanation:
1) let the two digit number be 10x+y
gn : two digit number is four times the sum of its digits .
10x+y = 4(x+y)
10x+y = 4x+4y
6x - 3y = 0
2x - y = 0 ( dividing both sides by 3)
2x= y
gn : it is equal to three times product of its digits
10x+y = 3xy
10x+2x = 3x(2x)
12x = 6x²
x= 2
Since y = 2x , y = 4
Hence two digit number is 24
2) Let the fraction be x/y
1st condition : x+2/y+2 = 9/11
11x + 22 = 9y+ 18
11x - 9y = -4 (equation1)
2nd condition : x+3/y+3 = 5/6
6x+18 = 5y+15
6x-5y = -3 (equation2)
Solve both equations you get ,
x= 7 and y= 9
Fraction is 7/9