Question

the sum of present ages of mother and daughter is 40 years .What will be the sum after 5 years​

Answer 1

Answer:

let x yrs be the present age of daughter and y yrs be the present age of mother.

Then x+y= 40

After 5 yrs,

age of daughter= x+5 yrs

age of mother= y+5 yrs

Then sum of their age = x+5 + y+5

= x+y+10

= 40+10 = 50 yrs ans.

Answer 2

$\huge{ \underline{ \overline{ \mid{ \mathfrak{ \purple{ \: \: SOLUTION \: \: } \mid}}}}}$

$\underline{ \mathfrak{ \: \: Given, \: \: }} \\ \\ \text{The sum of present ages of mother } \\ \text{and daughter = 40 years} \\ \\ \underline {\mathfrak{ \: \: To \: \: find : \mapsto}} \\ \\ \text{Sum of the ages of mother and } \\ \text{daughter after 5 years = ?}$

$\underline{ \mathfrak{ \: \: Suppose, \: \: }} \\ \\ \text{Present age of the mother = \red{x} \: years} \\ \\ \text{Present age of the daughter = \red{ y } \: years.}$

$\underline{ \bold{ \: A.T.Q., \: }} \\ \\ \text{Present age of the mother + Present} \\ \: \: \: \: \: \: \: \: \: \: \: \: \text{ age of the daughter = 40} \\ \\ \implies \: \: \text{x + y = 40 \: \: - - - - - - - - - > (1)}$

$\mathfrak{ \: Now, \: } \\ \\ \underline{ \text{ \: After \: 5 \: years \: }} \\ \\ \text{The age of the mother will be (x+5) years} \\ \\ \tt{And,} \\ \\ \text{The age of the daughter will be (y+5) years.} \\ \\ \tt{ \therefore \: \: Sum \: \: of \: \: their \: \: ages \: \: will \: \: be} \\ \\ \: \: \: \: \: \: \: \: \: \: \tt{ =(x + 5 ) + (y + 5)} \\ \\ \: \: \: \: \: \: \: \: \: \: \tt{ = x + 5 + y + 5} \\ \\ \: \: \: \: \: \: \: \: \: \: \tt{= (x + y) + 5 + 5 } \\ \\ \: \: \: \: \: \: \: \: \: \: \tt{= 40 + 10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [From \: (1)]} \\ \\ \: \: \: \: \: \: \: \: \: \: \tt{= 50 }$

$\therefore \sf{Sum \: \: of \: \: the \: \: ages \: \: of \: \: mother \: \: and } \\ \sf{daughter \: \: after \: \: 5 \: \: years = \red{50 \: \: years}}$