Question

7. A number has two digits. The digit at tens place is four times the digit at units place. If 54 is subtracted from the number, the digits are reversed. Find the number. increased by 3 cm​

Answer 1

Answer:

Thus, the two-digit number is 82.

Answer 2

Answer:

82

hope it helps!

please mark as brainliest!!

thanks!!!

Step-by-step explanation:

lets take the 10's place digit as n and the one's place digit as m

• then, 10n + m = the unknown number.
• the digits being interchanged will be 10m+n
• since the digit at the ten's place is n, it is 4 times m.

thus, we can come up with the following statements:

• 10n + m - 54 = 10m + n
• n = 4m

and, we can solve it like this:

(10 x 4 x m) + m - 54 = 10m + 4m

41m - 54 = 14m

41m - 14m = 54

27m = 54

m = 54/27

m = 2

since n = 4m, n = 4x2 = 8.

hence, 10n + m = 80 + 2 = 82.