Question

The present ages of Runal and Sneha are in the ratio 4:3. Six years later ages will be in
the ratio 6: 5. Find their present ages​

Answer 1

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✤ Required Answer:

✒ GiveN:

• Present ages of Runal and Sneha are in ratio of 4:3
• And, 6 years later, their ratio = 6:5

✒ To FinD:

• Present age of Runal and Sneha

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✤ How to solve?

First of all, we should consider the ages in any single variable in order to solve the equation formed later. Secondly, we should always note that ages are subtracted and added of both the persons on the basis of information given in question.

☃️ So, let's solve this question...$.$

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✤ Solution:

Let,

• Age of Runal be 4x
• And, Age of Sneha be 3x

Then, After 6 years,

• Age of Runal = 4x + 6
• Age of Sneha = 3x + 6

Given, ATQ,

• Ratio of their ages = 6 : 5

Then,

➝ 4x + 6/3x + 6 = 6/5

➝ 5(4x + 6) = 6(3x + 6)

➝ 20x + 30 = 18x + 36

➝ 20x - 18x = 36 - 30

➝ 2x = 6

➝ x = 6/2 = 3

So, Their present ages are:

• Age of Runal = 4x = 12
• Age of Sneha = 3x = 9

☀️ Hence, solved !!

Verification:

• Age of Runal after 6 years = 18
• Age of Sneha after 6 years = 15

Ratio of their ages,

➝ 18/15 = 6/5 [Verified ☑]

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Answer 2

$\orange{\bold{\underline{\underline{Given:-}}}}$

• The Present Age Of Runal And Sneha in the ratio 4:3

• Six years later their ages will be in the ratio 6:5

$\green{\bold{\underline{\underline{\mathcal{To} \: find:-}}}}$

• Their Present Ages.

$\bf \underline{ \pink{ \boxed{ \bf \red{Solution:-}}}}$

Suppose that Runal's age be 4x and Sneha's age 3x.

After Six Years Their Ages Will be :

• 4x + 6 { Runal's Age }

• 3x + 6 { Sneha's Age }

According To Question :

$\</strong><strong>s</strong><strong>f</strong><strong>\red{</strong><strong>\frac{4x + 6}{3x + 6} = \frac{6}{5}</strong><strong>}$

$\</strong><strong>b</strong><strong>f</strong><strong>\</strong><strong>p</strong><strong>i</strong><strong>n</strong><strong>k</strong><strong>{</strong><strong>5 \times(4x + 6) =6 \times (3x + 6)</strong><strong>}$

$\</strong><strong>b</strong><strong>f</strong><strong>\</strong><strong>b</strong><strong>l</strong><strong>u</strong><strong>e</strong><strong>{</strong><strong>20x + 30 = 18x + 36</strong><strong>}$

$\</strong><strong>b</strong><strong>f</strong><strong>\</strong><strong>o</strong><strong>r</strong><strong>a</strong><strong>n</strong><strong>g</strong><strong>e</strong><strong>{</strong><strong>2x = 6</strong><strong>}$

$\</strong><strong>t</strong><strong>t</strong><strong>\</strong><strong>r</strong><strong>e</strong><strong>d</strong><strong>{</strong><strong>x</strong><strong> </strong><strong>=</strong><strong> </strong><strong>3</strong><strong>}$

$\</strong><strong>s</strong><strong>f</strong><strong>\</strong><strong>p</strong><strong>u</strong><strong>r</strong><strong>p</strong><strong>l</strong><strong>e</strong><strong>{</strong><strong>Hence</strong><strong>,</strong><strong>}$

$\</strong><strong>s</strong><strong>m</strong><strong>a</strong><strong>l</strong><strong>l</strong><strong>\</strong><strong>g</strong><strong>r</strong><strong>e</strong><strong>e</strong><strong>n</strong><strong>{</strong><strong>Runal's</strong><strong>\</strong><strong> </strong><strong>Age</strong><strong>=</strong><strong>4</strong><strong>x</strong><strong>=</strong><strong>4</strong><strong>×</strong><strong>3</strong><strong>=</strong><strong>1</strong><strong>2</strong><strong>y</strong><strong>e</strong><strong>a</strong><strong>r</strong><strong>s</strong><strong>}</strong><strong>$

$</strong><strong>\</strong><strong>s</strong><strong>m</strong><strong>a</strong><strong>l</strong><strong>l</strong><strong>\</strong><strong>g</strong><strong>r</strong><strong>e</strong><strong>e</strong><strong>n</strong><strong>{</strong><strong>Sneha's</strong><strong>\</strong><strong> </strong><strong>Age</strong><strong>=</strong><strong>3</strong><strong>x</strong><strong>=</strong><strong>3</strong><strong>×</strong><strong>3</strong><strong>=</strong><strong>9</strong><strong>y</strong><strong>e</strong><strong>a</strong><strong>r</strong><strong>s</strong><strong>}</strong></p><p>$

______________________

$</strong><strong>\bf\blue{Hope\ it\ helps.}$

$\bf\pink{Plz\ Mark\ As\ Brainliest.}$