A two-digit number is 7 more than
3 time the sum ofits
Sum of its Digits It
36 is added to the number
the digits are
reversed. find
the number
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Answer:
let the two-digit number be 10x+y
given,the number is 7 times the sum of its digits
⇒10x+y=7(x+y)
10x+y=7x+7y
3x=6y
x=2y
the number formed by reversing the digits is 18 less than original number
⇒10x+y-(10y+x)=18
10x+y-10y-x=18
9x-9y=18
9(x-y)=18
(x-y)=18/9=2
⇒x-y=2
x=2y
⇒2y-y=2
y=2
x=4
∴the number is 42
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