A two digit number is such that, the sum of its digit is 13.When the digits are interchange, the original number is increased by
9. Find the original number.
1 answer:
Answer:
Concept: Mathematical Representation
- You have a two digit # __
- The sum of the two digit # = 13
- The original # increased by 9
- Hence we must find values that sum to 13. *Note they must be independently standing.
- 8+5, 9+6, 7+6 , 6+7 , and etc
- The value must also increase by 9
- So logically it would be any result that when switched that value would be 76-67= 9.
- So the value must be 67
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<h3>Given</h3>
- m∠REG = 78°
- mAR = 46°
- ER ≅ GA
<h3>Solution</h3>
- m∠GAR = 180° - m∠REG = 180° - 78° = 102° (supplementary angles sum to 180°)
- m∠TAR = 1/2mAR = 1/2(46°) = 23° (tangent chord angle is half the size of intercepted arc)
- m∠GAN = 180° - (m∠TAR + m∠GAR) = 180° - (23° + 102°) = 55° (straight angle is 180°)
- mAG = 2m∠GAN = 2(55°) = 110°
- mRE = mAG = 110° (as ER ≅ GA)
- mGE = 360° - (mAG + mAR + mRE) = 360° - (110° + 46° + 110°) = 94° (full circle is 360°)
