Question

A two-digit number is 7 times its units digit. If 18 is added to the number, its digits are reversed. Find the number.​

Answer 1

Answer:

35

Step-by-step explanation:

let the two digit number be = jk

according to question

: 10j+k= 7k

: 10j = 6k

: 5j = 3k. eq. 1

and if 18 is added to jk

10j+k+18 = 10k+j

9j+18= 9k

j+2=k

k= j+2. eq. 2

putting value of k in equation 1

5j= 3(j+2)

5j = 3j+6

2j=6

j=3

putting j=3 in equation 2

k= 3+2

k=5

so number jk= 35