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:

your answer is 35

Step-by-step explanation:

Let the tens digit number be x and ones digit number be y

then from the given condition it is clear that,

• 10x+y=7y
• 10x=6y --------------------- EQ 1

From the second given condition we have that,

• 10x+y+18=10y+x
• 10x-x+18=10y-y
• 9x+18=9y
• 9(x+2)=9y
• (x+2)=9y/9
• x+2=y ---------------------- EQ 2

Substituting the value of y in EQ 2 IN EQ 1, WE GET,

• 10x=6(x+2)
• 10x=6x+12
• 10x-6x=12
• 4x=12
• x=3 ------------------------ THIS IS YOUR TENS DIGIT

Substituting the value of x in any equation let it be the most simple one be EQ 1, WE GET

• x+2=y
• 3+2=y
• y=5 ------------------------ THIS IS YOUR ONES DIGIT

THUS YOUR ANSWER IS 35.