Question

Ratio of ages of ram and shyam is 3.4 sum of their ages after sycur we'll be 45 years find their Present eyes

Answer 1

$\large\bf \clubs \:  Appropriate \: Question :-$

Ratio of ages of Ram and Shyam is 3:4. Sum of their ages after 5 years will be 45 years. Find their present ages.

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$\large \bf \clubs \:  Given :-$

• Ratio of Present ages of Ram and Shyam is 3 : 4.

• Sum of their ages after 5 years will be 45 years.

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$\large \bf \clubs \:  To \: Find :-$

• Their Present Ages

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$\large \bf \clubs \:  Solution :-$

As The Ratio of Ages of Ram and Shyam is 3 : 4.

Let ,

• Present Age of Ram = 3x years

• Present Age of Shyam = 4x years

《 After 5 years 》

• Age of Ram = 3x + 5 years

• Age of Shyam = 4x + 5 years

✏ According To Question :

$\text{Sum of Ages After 5 years = 45 years }$

Hence ,

$3 \text x + 5 + 4 \text x + 5 = 45$

$:\longmapsto7 \text x + 10 = 45$

$:\longmapsto7 \text x = 45 - 10$

$:\longmapsto7 \text x = 35$

$:\longmapsto \text x = \cancel { \dfrac{35}{7} }$

$\purple{ \Large :\longmapsto  \underline {\boxed{{\bf x = 5} }}}$

Hence ,

$\pink{\begin{cases} \text{Present Age of Ram = 15 years} \\ \\ \text{ Present Age of Shyam = 20 years }\end{cases}}$

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

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Answer 2

❏ Correct Question :

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• Ratio of ages of Ram and Shyam is 3:4 and sum of their ages after 5 years will be 45 years. Find their Present ages.

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❏ Required Answer :

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• Present ages of Ram and Shyam are 15 years and 20 years.

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❏ Step – By – Step Explanation :

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$\clubsuit$ Given :

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• Ratio of ages of Ram and Shyam is 3:4.

• Sum of their ages after 5 years will be 45 years.

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$\clubsuit$ To Find :

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• Present ages of Ram and Shyam?

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$\clubsuit$ Solution :

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• Let present age of Ram be 3n years and present age of Shyam be 4n years.

• So, their ages after 5 years will be (3n + 5) years and (4n + 5) years.

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★ According to the Question :

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➦ ㅤSum of their ages after 5 years = 45

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➦ㅤ (3n + 5) + (4n + 5) = 45

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➦ ㅤ3n + 5 + 4n + 5 = 45

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➦ㅤ 3n + 4n + 5 + 5 = 45

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➦ㅤ 7n + 10 = 45

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➦ㅤ 7n = 45 – 10

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➦ ㅤ7n = 35

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➦ㅤ n = $\sf {\cancel{\dfrac{35}{7}}}$

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★ After cancelling 35 with 7, we get :

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➦ㅤ $\underline{\boxed{\bf{\blue{n = 5}}}}\:\pink{\bigstar}$

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★ Hence,

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• Present age of Ram = 3n = 3 × 5 = 15 years.

• Present age of Shyam = 4n = 4 × 5 = 20 years.

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• Therefore, present ages of Ram and Shyam are 15 years and 20 years.

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$\clubsuit$ Verification :

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➥ㅤ (3n + 5) + (4n + 5) = 45

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★ Putting value of 'n' in above eqⁿ :

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➥ㅤ [(3 × 5) + 5] + [(4 × 5) + 5] = 45

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➥ㅤ (15 + 5) + (20 + 5) = 45

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➥ㅤ 15 + 5 + 20 + 5 = 45

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➥ㅤ 20 + 25 = 45

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➥ㅤ $\underline{\boxed{\bf{\green{45 = 45}}}}\:\red{\bigstar}$

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∴ Hence, Verified! $\clubsuit$

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❏ Learn more on brainly :

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★ Question :

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Racky mother is 4 times as old as Racky after 5yrs her mom will be 3 times as old as old she will be then. Find their present ages.

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★ Answer :

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https://brainly.in/question/42985568

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