the sum of two digit number is 7. when the digits are interchanged, the reversed number is 5 times the ten's digit of the original number. find the original number
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Step-by-step explanation:
let the digits be X and y
x+y=7. [1]
10y+x=5x
10y-4x=0 [2]
multiply equation 1 by 4
10y-4x=0
4y+4x=28
on addition
14y=28
y=2
put value of y in equation 2
10×2-4x=0
20=4x
x=5
original number=10x+y
10×5+2
52
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