the sum of the digits of a 2 digit no is 7. if the digits are reversed the new number increased by 3 equals four times the original number. find the number.
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let the numbers be x,y
x+y=7................(1)
let the original number be 10x+y
let the second number 10y+x
according to the sum
10y+x=4(10x+y)-3
10y+x=40x+40y-3
39x-6y=-3
13x-2y=-1..........(2)
solving 1 and 2
x=1
y=6
so the original no is 10x+y=16.
Step-by-step explanation:
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