A two digit number is j times the sum of its digits. The numbers formed by interchanging the digits is the sum of digits multiplied by
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10x+y=j (x+y) ----- 1
10y+x=k (x+y) -----2
we have to find k
on adding equation 1 &2
11x+11y=(j+k)(x+y)
11 (x+y)=(j+k)(x+y)
11=j+k
:.k=11-j
10y+x=k (x+y) -----2
we have to find k
on adding equation 1 &2
11x+11y=(j+k)(x+y)
11 (x+y)=(j+k)(x+y)
11=j+k
:.k=11-j
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