x¼2 (one’s digit)
3 x¼ 3 2 ¼6 (ten’s digit)
The number is 62.
- Letx¼the ten’s digit and 9x¼the one’s digit; then
original number is 10xþ(9x); reversed digits number is 10(9x)þx
10 xþð 9 xÞþ 27 ¼ 10 ð 9 xÞþx
10 xþ 9 xþ 27 ¼ 90 10 xþx
9 xþ 36 ¼ 90 9 x
9 xþ 9 xþ 36 ¼ 90 9 xþ 9 x
18 xþ 36 ¼ 90
18 xþ 36 36 ¼ 90 36
18 x¼ 54
181 x
181
¼
54
18
x¼3 (ten’s digit)
9 x¼ 9 3 ¼6 (one’s digit)
The number is 36.
- Letx¼the ten’s digit andxþ 1 ¼the one’s digit; then
original number is 10xþ(xþ1); reversed digits number is 10(xþ1)þx
2 ð 10 xþxþ 1 Þ 3 ¼ 10 ðxþ 1 Þþx
2 ð 11 xþ 1 Þ 3 ¼ 10 xþ 10 þx
22 xþ 2 3 ¼ 11 xþ 10
22 x 1 ¼ 11 xþ 10
LESSON 10 Solving Digit Problems 103