Cailynpark08idn
Answered

IDNLearn.com offers a seamless experience for finding and sharing knowledge. Discover trustworthy solutions to your questions quickly and accurately with help from our dedicated community of experts.

Ina two digit number, the units digit is twice the tens digit. If the number is doubled, it will be 9 more than the number reversed. Find the number

Sagot :

Sqdancefanidn

9514 1404 393

Answer:

  36

Step-by-step explanation:

Let the digits of the number be represented by t for the tens digit and u for the units digit.

  u = 2t . . . . . . . . the units digit is twice the tens digit

  2(10t +u) = (10u +t) +9 . . . . . double the number is 9 more than its reverse

Substituting for u, we have ...

  2(10t +2t) = 10(2t) +t +9

  24t = 21t +9 . . . . . . . . . . . collect terms

  3t = 9 . . . . . . . . . . . . . subtract 21t

  t = 3 . . . . . . . . . . . divide by 3

  u = 2t = 6 . . . . find u

The number is 36.

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com is dedicated to providing accurate answers. Thank you for visiting, and see you next time for more solutions.