In a two-digit natural number, the sum of the numbers is 16. The number of tens is 2 less than

In a two-digit natural number, the sum of the numbers is 16. The number of tens is 2 less than the number of ones. Find this number.

Let’s denote a two-digit number as XY, where X is the number of tens, Y is the number of ones.

Then by condition:

X + Y = 16.

Y – 2 = X.

Let’s solve the equations by the substitution method.

(Y – 2) + Y = 16.

2 x Y = 18.

Y = 9.

Then:

X = 16 – 9 = 7.

Number of units 9.

The number of tens is 7.

The required number is 79.

Answer: 79.