Question

a 2digit no. is 3 more than 4times the sum of its digits.If 18 is added to the no. the digits are reversed. FIND THE NO.(number)?

Answer 1

Answer:

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Step-by-step explanation:

so let the two digit number be 10x+y

where digit at ones pace is y and that of tens is x

according to first criterion,,

10x+y=3+4(x+y)

ie 10x+y=3+4x+4y

ie 6x-3y=3

so dividing by 3 on both sides,we get,

2x-y=1

hence y=2x-1 (1)

according to second case

10x+y+18=10y+x

so 9x-9y=-18

ie dividing by 9 on both sides we get

x-y=-2

so substitute value of y from (1)

we get

x-(2x-1)=-2

ie x-2x+1=-2

so -x=--3

so x=3

substitute value of x in any of two equations

we get,,y=5

so our assumed two digit number was 10x+y

=(10×3)+5

=30+5

=35

hence required two digit number is 35