The sum of the present ages of Sita and Rita is 105 years. After 7 yea

1.	The sum of the present ages of Sita and Rita is 105 years. After 7 years the ratio of their ages that time will be 7 : 10 respectively. What is Rita’s present age ?
Answer» $\large \bf \clubs \: Given :-$ The sum of the present ages of Sita and Rita is 105 YEARS. After 7 years the RATIO of their ages that time will be 7 : 10 respectively. ----------------------- $\large \bf \clubs \: To \: Find :-$ Rita’s present age ----------------------- $\large \bf \clubs \: Solution :-$ Let , Present age of Sita be = X years Present age of Rita be = y years We Have, $\sf \mathtt x + y = 105 \\ \\ : \: \bf \large\longmapsto x = 105 - y \: \: - - - - (<klux>1</klux>)$ 《After 7 Years》 Age of Sita = (x + 7) years Age of Rita = (y + 7) years According To The Given Condition : $\sf\dfrac{\mathtt x + 7}{y + 7} = \frac{7}{10} \\ \\ :\longmapsto \sf10(\mathtt x + 7) = 7(y + 7) \\ \\ :\longmapsto \sf10\mathtt x + 70 = 7y + 49 \\ \\ \large:\longmapsto \bf10x - 7y = - 21 \: \: - - (2)$ PUTTING Value of (2) in (1) $:\longmapsto \sf10(105 - y) - 7y = - 21 \\ \\ :\longmapsto \sf 1050 - 10y - 7y = - 21\\ \\ :\longmapsto \sf \cancel - 17y = \cancel- 1071\\ \\ :\longmapsto \sf y = \frac{1071}{17} \\ \\ \purple{ \Large :\longmapsto \underline {\boxed{{\bf y = 63} }}}$ $\underline{ \underline{ \pink{ \pmb{Hence \: Present \: Age \: of \: Rita = 63 \: years }}}}$ $\LARGE\red{\mathfrak{ \text{W}hich \:\:is\:\: the\:\: required} }\\ \Huge \red{\mathfrak{ \text{ A}nswer.}}$ -----------------------

The sum of the present ages of Sita and Rita is 105 years. After 7 years the ratio of their ages that time will be 7 : 10 respectively. What is Rita’s present age ?

Answer»

$\large \bf \clubs \: Given :-$

The sum of the present ages of Sita and Rita is 105 YEARS.

After 7 years the RATIO of their ages that time will be 7 : 10 respectively.

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$\large \bf \clubs \: To \: Find :-$

Rita’s present age

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$\large \bf \clubs \: Solution :-$

Let ,

Present age of Sita be = X years

Present age of Rita be = y years

We Have,

$\sf \mathtt x + y = 105 \\ \\ : \: \bf \large\longmapsto x = 105 - y \: \: - - - - (<klux>1</klux>)$

《After 7 Years》

Age of Sita = (x + 7) years

Age of Rita = (y + 7) years

According To The Given Condition :

$\sf\dfrac{\mathtt x + 7}{y + 7} = \frac{7}{10} \\ \\ :\longmapsto \sf10(\mathtt x + 7) = 7(y + 7) \\ \\ :\longmapsto \sf10\mathtt x + 70 = 7y + 49 \\ \\ \large:\longmapsto \bf10x - 7y = - 21 \: \: - - (2)$

PUTTING Value of (2) in (1)

$:\longmapsto \sf10(105 - y) - 7y = - 21 \\ \\ :\longmapsto \sf 1050 - 10y - 7y = - 21\\ \\ :\longmapsto \sf \cancel - 17y = \cancel- 1071\\ \\ :\longmapsto \sf y = \frac{1071}{17} \\ \\ \purple{ \Large :\longmapsto \underline {\boxed{{\bf y = 63} }}}$

$\underline{ \underline{ \pink{ \pmb{Hence \: Present \: Age \: of \: Rita = 63 \: years }}}}$

$\LARGE\red{\mathfrak{ \text{W}hich \:\:is\:\: the\:\: required} }\\ \Huge \red{\mathfrak{ \text{ A}nswer.}}$

The sum of the present ages of Sita and Rita is 105 years. After 7 years the ratio of their ages that time will be 7 : 10 respectively. What is Rita’s present age ?

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