Answer:
56
Step-by-step explanation:
.Let ,
the two-digit number be 10x + y
Where the unit digit and the tenth place digit of the number is y and x respectively.
After reversing the digits the number
becomes: 10y + x.
According to the 1st condition,
x + y = 8 ____(1)
According to the 2nd condition,
10x + y - 24= 10y + x
⇒ 9x - 9y = 24
⇒ 9(x - y) = 24
⇒ x - y = 8/3 _____-(2)
Now,if we done equation (1+2) we get,
2x = 32/3
⇒ x = 16/3
On putting the value of x in equation (1), we get
16/3 + y = 8
⇒ y = 8 - 16/3
⇒ y = 8/3
So, the two-digit number is= (10 × 16/3)+ (8/3)
=56
∴ The two-digut number is 56.
A number consists of two digits whose sum is 8 . If 18 is added to the number its digits are reversed. Find the number.
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Verified answer
Answer:
56
Step-by-step explanation:
.Let ,
the two-digit number be 10x + y
Where the unit digit and the tenth place digit of the number is y and x respectively.
After reversing the digits the number
becomes: 10y + x.
According to the 1st condition,
x + y = 8 ____(1)
According to the 2nd condition,
10x + y - 24= 10y + x
⇒ 9x - 9y = 24
⇒ 9(x - y) = 24
⇒ x - y = 8/3 _____-(2)
Now,if we done equation (1+2) we get,
2x = 32/3
⇒ x = 16/3
On putting the value of x in equation (1), we get
16/3 + y = 8
⇒ y = 8 - 16/3
⇒ y = 8/3
So, the two-digit number is= (10 × 16/3)+ (8/3)
=56
∴ The two-digut number is 56.
Answer:
A number consists of two digits whose sum is 8 . If 18 is added to the number its digits are reversed. Find the number.