Question

5) Two numbers are such that the ratio between them is 5:7. If 7 is added to each of them, the ratio becomes 3:4 . Find the numbers.?

Answer 1

Answer:

Let the two numbers be 5x , 7x.

given that,

If 7 is added to each of them , the ratio becomes 3 : 4.

According to the question,

$\frac{5x + 7}{7x + 7} = \frac{3}{4}$

After cross multiplication we get,

$4(5x + 7) = 3(7x + 7) \\ \\ 20x + 28 = 21x + 21 \\ \\ 20x - 21x = 21 - 28 \\ \\ - x = - 7 \\ \\ x = 7$

Therefore, the numbers are 5x = 5(7) = 35 and 7x = 7(7) = 49.

Answer 2

☑️ Given that :

• Two numbers in ratio 5:7.

$\implies$Let the two numbers be 5x and 7x.

• If 7 is added to each of them, then the ratio becomes 3:4.

$\implies{ \frac{5x + 7}{7x + 7} = \frac{3}{4}}$

━━━━━━━━━━━━━━━━━━━━━━━━

☑️ To Find :

Required Numbers = ?

━━━━━━━━━━━━━━━━━━━━━━━━

$\huge{\{\purple{\boxed{\boxed{\mathfrak{\underline{\underline{\pink{\bigstar{.SoLuTioN.}}}}}}}}}$

━━━━━━━━━━━━━━━━━━━━━━━━

According To The Condition,

$\implies{\frac{5x + 7}{7x + 7} = \frac{3}{4}}$

On cross - multiplication,

$\implies{4(5x + 7) = 3(7x + 7) }$

$\implies \: 20x + 28= 21x + 21$

on taking the x - terms one side and constants the other side,

$\implies \: 21x - 20x = 28 - 21$

$\implies$ x = 7

━━━━━━━━━━━━━━━━━━━━━━━━

$\therefore$ The required numbers will be

$\large{\boxed{\sf{\underline{\green{First \: Number = 5x = 35 }}}}}$

$\large{\boxed{\sf{\underline{\green{Second \: Number = 7x = 49}}}}}$

Hence, Required numbers are 35 and 49.

━━━━━━━━━━━━━━━━━━━━━━━━

⋰ Hope It Will Be Helpful To You Mate ⋱

#be_brainly