Question

The age of a man and the age of his daughter differ by 23 years and the sum of their ages is 41 years. Find the age of the man.​

Answer 1

Answer:

Let age of daughter = x years

see the attachment

Answer 2

Given : The age of a man and the age of his daughter differ by 23 years and the sum of their ages is 41 years.

Need To Find : The age of the man.

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${\underline{\boldsymbol{ \pink{According \: to \: the \: question :}}}}$

❍Let age of daughter be "x" years.

Then age of man = (x + 23)

$\sf{x + (x + 23) = 41}$

$\sf{x + x + 23 = 41}$

$\sf{2x + 23 = 41}$

$\sf{2x = 41 - 23}$

$\sf{2x = 18}$

$\sf{x = 9}$

$\sf{x + 23=9+23=32 \ years.}$

Therefore,

$\sf{Age \ of \ man \ is \ }$ ${\textsf{\textbf{\pink{32 years.}}}}$