The sum of the digits of …
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Posted by Shilpi Kumari 5 years, 6 months ago
- 2 answers
Yogita Ingle 5 years, 6 months ago
Let x = 10's digit of a two digit number
Let y = units digit
Let z = the resulting equal digits
:Write an equation for each statement:
the sum of a two digit number is 10.
x + y = 10
or
y = (10-x)
if 18 be subtracted from it, the digits in the resulting number will be equal.
10x + y - 18 = 10z + z
10x + y = 11z + 18
Substitute (10-x) for y
10x + (10-x) = 11z + 18
10x - x = 11z + 18 - 10
9x = 11z + 8
The single digit integer values for x and z are limited to x=7 and z=5 in this equation:
x = 7, y = 3, z = 5
The number is 73
Check in the statement:
"if 18 be subtracted from it, the digits in the resulting number will be equal."
73 - 18 = 55
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Shilpi Kumari 5 years, 6 months ago
1Thank You