Question

Mona is 27 years older than her daughter. After 16years, she will be
19 years more than thrice the present age of Aditi, what is Aditi’s
present age?

Answer 1

Answer:

The present age of Aditi is 12 years.

Step-by-step explanation:

Let the present age of Mona be x years and her daughter, Aditi be y years.

Mona is 26 years older than her daughter, Aditi.

x = y + 27

After 16 years,

Mona's age = (x + 16) years

According to the question,

x + 16 = 3y + 19

x + 16 = 3y + 19

x = 3y + 19 – 16

x = 3y + 3

y + 27 = 3y + 3

3y – y = 27 – 3

2y = 24

y = 24/2

y = 12

Therefore, the present age of Aditi is 12 years.

Answer 2

Step-by-step explanation:

$\blue {\large{\underline{\underline{\textbf{Given information:---}}}}}$

• ➟ Mona is 27 years older then her daughter.
• ➟ After 16 years she will be 19 years more then thrice the present age of aditi.

$\blue {\large{\underline{\underline{\textbf{What we need to calculate:---}}}}}$

• ⟿ What is aditi's present age ?

$\purple {\large{\underline{\underline{\textbf{Finding present age of Aditi's:---}}}}}$

❖ To find present age of aditi we have to assume a variable for example :

• Let Mona and her daughter age be a
• and aditi age be b

$\pink {\large{\underline{\underline{\textbf{Forming an equation :---}}}}}$

❑ As given in question Mona is 26 years older then her daughter (Aditi) ,Therefore

• ➤ a = b + 27

❒ And also it is given that After 16 years she will be 19 years more then her present age of aditi, Therefore our 1st equation & 2nd equation be

• ➤ Mona age = (a + 16) years
• ➤ Aditi age = (3b + 19) years

$\qquad \red{ \underline{ { \pmb{ \textbf{Solving equation \: (1) \: and equation( 2) }}}}}$

$\\ ➟ \bf \: a + 16 = 3b + 19$

• transferring sides

$\\ ➟ \bf \: a = 3b + 19 - 16$

• On subtracting 19 by 16 we get 3

$\\ \bf \: ➟ \: a= 3b + 3$

• Now putting value of a ( b+27), we get

$\\ \bf \: ➟ \: b + 27 = 3b + 3$

• Again transferring sides

$\\ \bf \: ➟ \: 27 - 3 = 3b - b$

• On subtracting 27 - 3 we get 24

$\\ \bf \: ➟ \: 24 = 3b - b$

• again subtracting 3b - b we get 2b

$\\ \bf \: ➟ \: 24 = 2b$

• Transferring sides

$\\ \bf \: ➟ \: b \: = \dfrac{ \cancel{24}}{ \cancel2}$

• Dividing 24 by 2 we get 12

$\\ \pink{ \large ➟ \: \underline{ \overline{ \boxed{ \frak{b = 12}}}}}$

$\underline{ \bigstar \textbf {\:Hence present age of \red{Aditi's is 12 years }}}$

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