Question

The units' digit of a two-digit number is 7 more than the tens' digit. if 26 is added to the number, the result obtained is five times the sum of the digits. find the number.

Answer 1

xy - the number
A) y -x = 7
B) (10x + y + 26) = 5 (x + y)
B) 10x +y + 26 = 5x +5y
B) 5x -4y = -26
multiplying equation A) by 4
A) 4y -4x = 28 Adding this to equation B
B) 5x -4y = -26
x = 2
y = 9

The number is 29

Answer 2

29

Explanation:

xy - the number

A) y -x = 7

B) (10x + y + 26) = 5 (x + y)

B) 10x +y + 26 = 5x +5y

B) 5x -4y = -26

multiplying equation A) by 4

A) 4y -4x = 28 Adding this to equation B

B) 5x -4y = -26

x = 2

y = 9

The number is 29