Question

the ratio of tens digit to the ones digit of a two digit number is 3 :4. if 18 is added to the number ,the digits interchange their places ,find the number.​

Answer 1

Answer:

68.

Step-by-step explanation:

Here we know that ratio of tens to ones = 3:4.

Let tens digit be x and ones digit be y.

Then the number will be (10 into x) + (y).

Also,

x/y = 3/4

x = 3y/4. : Equation 1.

Now if we add 18 to the number then the digits interchange their positions.

Then,

(10 into x) + y + 18 = (10 into y) + x.

10x + y = 10y + x - 18.

Put value of x = 3y/4 from equation 1.

Thus we get,

10(3y/4) + y = 10y + 3y/4 - 18.

30y/4 + y = 43y/4 - 18.

34y/4 = 43y/4 - 18.

18 = 43y - 34y whole upon 4.

18 = 9y/4

72 = 9y.

y = 72/9

y = 8.

Put y = 8 in eq 1.

x = 3(8)/4.

x = 24/4

x = 6.

Now the number was 10x + y.

Therefore, 10(6) + 8.

= 68.

Therefore the number is 68.

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Answer 2

68

Step-by-step explanation:

the answer of this question is 68