A two digit number is 4 times the sum of its digits.If 18 is added to the number ;
the digits are reversed .Find the number.
Share
A two digit number is 4 times the sum of its digits.If 18 is added to the number ;
the digits are reversed .Find the number.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Then the two-digit number is 10x + y
Given that: 10x + y = 4 (x + y)
10x + y = 4x + 4y
6x = 3y
y = 2x --------------- 1
And 10x + y + 18 = 10y + x
Or 9y – 9x = 18 ---------------- 2
Substitute the value of y in eqn 2
18x – 9x = 18
9x = 18
x = 2
Therefore y = 2x = 2*2 = 4
And the number is 10x + y = 10*2 + 4 = 24
Answer: The two-digit number is 24.
pls mark as brainliest
pls follow me
thanks
Now, 10x + y = 4( x + y)
10x + y = 4x + 4y
6x = 3y
2x = y....... (I)
Now, 10x + y + 18 = 10y + x
9x - 9y = -18
x - y = -2........(II)
From (I) and (II)
x = 2 and y = 4
Therefore, the number is 24.