Question

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​

Answer 1

Answer:

24

Step-by-step explanation:

ab- two digit number or ab=10a+b

Equations as per given:

10a+b=4(a+b)  & 10a+b+18=10b+a

1st equation simplified:

• 10a+b=4(a+b)
• 6a=3b
• 2a=b

2nd equation simplified:

• 10a+b+18=10b+a
• 9a+18=9b
• a+2=b
• a+2=2a    (from 1st equation)
• 2=a
• a=2 and b=4

ab=24   given number

Proof:

24=4(2+4)

24+18=42