Math Snap

STEP 1

Assumptions
1. Let the height of the mother (ээж) be $x$ cm.
2. The father (аав) is 15 cm taller than the mother.
3. The son (хүү) is 46 cm shorter than the mother.
4. We need to find the sum of the heights of the father, mother, and son.

STEP 2

Express the height of the father in terms of $x$.
The father's height is $x + 15$ cm.

STEP 3

Express the height of the son in terms of $x$.
The son's height is $x - 46$ cm.

STEP 4

Write the expression for the sum of their heights.
The sum of the heights is:
$$\text{Sum of heights} = \text{Mother's height} + \text{Father's height} + \text{Son's height}$$

STEP 5

Substitute the expressions for each person's height into the sum.
$$\text{Sum of heights} = x + (x + 15) + (x - 46)$$

STEP 6

Simplify the expression by combining like terms.
$$\text{Sum of heights} = x + x + 15 + x - 46$$

Combine the $x$ terms and the constant terms.
$$\text{Sum of heights} = 3x - 31$$ The sum of the heights of the father, mother, and son is $3x - 31$ cm.