Question

a number consists of 2 digits whose sum is 16.the number obtained by reversing the digits is 24 more than the old number find the numberssee
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Answer 1

Answer:

Step-by-step explanation:

Let the tens digit be and the units digit be y. Then the number is 10x+y.

Sum of the digits is x+ y=11.

The number formed by reversing the digits is 10y+x.

Given data, (10x+y)−9=10y+x

⇒10x+y−10y−x=9

9x−9y=9

Dividing by 9 on both sides, x−y=1          (2)

Equation (2) becomes x=1+y                (3)

Substituting x in (1) we get, 1+y+y=11

⇒2y+1=11

2y=11−1=10

∴y=  

2

10

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=5

Substituting y=5 in (3) we get, x=1+5=6

∴ The number is 10x+y=10(6)+5=65