Question

2. In a two-digit number, the digta
exceeds the sum of its digts by 18. Find the number,
3. A two-digit number is 3 more than 4 times the sum of its digits. If 18 is added to the
number, its digits are reversed. Find the number.
tur limit number is 15. The number obtained by interchanging its​

Answer 1

Answer:

Q1_Let the number be =10a+b

10a+b=a+b+18

10a=a+18

9a=18,

a=2,

2a=b,

b=4

Q2_Let 10y+x be two digit number.

Given: 10y+x=4(y+x)+3

10y+x=4y+4x+3

6y=3x+3

2y=x+1

y=2x+1.    ....(1)

and 10y+x+18=10x+y.

9y+18=9x

y+2=x

2x+1+2=x

x+1+4=2x

x−2x=−5

−x=−5

x=5

⇒y=25+1=26=3.

∴ The two digit number =10y+x

                                        =10(3)+5

                                        =35.

Step-by-step explanation:

hope this answer helps you.