Question

A two_digit number is obtain by either multiplying the sum of the digits by 8 and the subtract 5 or multiplying the difference of the digits by 16 and then adding 3 .find the number.
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Answer 1

Answer:

Let us assume x and y are the two digits of the two digit number.

therefore,the two digit

number is 10x+y

given,

10x+y=8(x+y)-5

7y-2x=5

-----------1

ALso GiVen

10x+y=16(x-y) +3

10x+y=16x-16y +3

17y-6x=3

----------------2

multiply

equation 1by3

21y-6x

=15---------3

subtract

equation 2 from equation

3

4y=12

y=3

substitute y=3

in equation in 1

7*3 -2x=5

21-2x. =5

2x=16

x=8 therefore the two digit number is10x+y =10*8+3=83.....

Answer 2

Answer:

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komal2652

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Answer:

Let us assume x and y are the two digits of the two digit number.

therefore,the two digit

number is 10x+y

given,

10x+y=8(x+y)-5

7y-2x=5

-----------1

ALso GiVen

10x+y=16(x-y) +3

10x+y=16x-16y +3

17y-6x=3

----------------2

multiply

equation 1by3

21y-6x

=15---------3

subtract

equation 2 from equation

3

4y=12

y=3

substitute y=3

in equation in 1

7*3 -2x=5

21-2x. =5

2x=16

x=8 therefore the two digit number is10x+y =10*8+3=83.....