Question

The tens digit of a two-digit number is two more than its unit digit. The two-digit number is 7
times the sum of the digits. Find the units digits?
I
2) 2
3)3
4) 4​

Answer 1

Answer:

Two is the correct answer.

Step-by-step explanation:

Answer 2

Given:

The tens digit of a two-digit number is two more than its unit digit. The two-digit number is 7

times the sum of the digits.

To Find:

Find the units digits?

Step-by-step explanation:

• For this type of problem first let us take the unit digit to be x.
• Then according to question tens digit  will become x+2.
• A two digit number can be written by multiplying the tens digit by 10 and then adding unit place digit .
• The number will be

$=10\times (x+2) +x\\=10x+20+x=11x+20$

• As the number will be 7 times the sum of digits . Then sum of digits will be x+x+2=2x+2 . Now equating the number to 7 times the sum of digits we will get,

$11x+20=7\times (2x+2)\\11x+20=14x+14\\14x-11x=20-14\\3x=6\\x=2$

So the units digit will be 2