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Answer:

Hi dear please find your answer below thank you

Step-by-step explanation:

Let's denote the current age of the lady as L and the current age of her daughter as D.

Given that the lady was 32 years old when her daughter was born, we can express the daughter's current age in terms of the lady's age:

Daughter's current age (D) = Present age of the lady (L) - Age difference when daughter was born (32)

Now, we know that the sum of their ages is 56:

L + D = 56

Substituting the expression for D from the first equation into the second equation, we get:

L + (L - 32) = 56

Simplifying:

2L - 32 = 56

Add 32 to both sides:

2L = 88

Divide both sides by 2:

L = 44

Now, we can find the daughter's current age (D) using the first equation:

D = L - 32

D = 44 - 32

D = 12

So, the present age of the lady is 44 years and the present age of her daughter is 12 years.

msm555

Answer:

The Present age of the lady: [tex]44[/tex] years

The present age of her daughter: [tex]12[/tex] years.

Step-by-step explanation:

Let's denote the current age of the lady as [tex]x[/tex] and the current age of her daughter as [tex]y[/tex].

According to the given information, the lady was [tex]32[/tex] years old when her daughter was born. This means the age difference between the lady and her daughter is [tex]32[/tex] years.

So, the equation representing the age difference is:

[tex] x - y = 32 [/tex]

Now, the present sum of their ages is [tex]56[/tex], so we have the equation:

[tex] x + y = 56 [/tex]

Now, we have a system of two equations:

[tex] \begin{cases} x - y = 32 \\ x + y = 56 \end{cases} [/tex]

We can solve this system to find the values of [tex]x[/tex] and [tex]y[/tex].

Adding the two equations to eliminate [tex]y[/tex]:

[tex] (x - y) + (x + y) = 32 + 56 [/tex]

[tex] 2x = 88 [/tex]

[tex] x = \dfrac{88}{2} [/tex]

[tex] x = 44 [/tex]

Now that we have [tex]x[/tex], we can substitute it back into one of the original equations.

Let's use the second equation:

[tex] 44 + y = 56 [/tex]

[tex] y = 56 - 44 [/tex]

[tex] y = 12 [/tex]

Therefore, the present age of the lady ([tex]x[/tex]) is [tex]44[/tex] years, and the present age of her daughter ([tex]y[/tex]) is [tex]12[/tex] years.