Question

Two numbers are such that the ratio between them is 5:7.if is added to each of them, the ratio becomes 3:4.find the answer

Answer 1

Given:-

• 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.

To find out:-

Find the value of 5:7 ?

Solution:-

Let the ratio between two no be 5x : 7x.

★ According to the question,

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

5x + 7 : 7x + 7 =3:4

⇒ 5x + 7 / 7x + 7 = 3/4

By cross- multiplication

⇒ 4 ( 5x + 7 ) = 3 ( 7x + 7 )

⇒20x + 28 = 21x + 21

⇒ 21x - 20x = 28 - 21

⇒ x = 7

Now,

5x = 5 × 7 = 35

7x = 7 × 7 = 49

Answer 2

${\bf{\underline{Correct\:Question:-}}}$

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 two numbers.

$\purple{\bf{\underline{Given:-}}}$

▪Two numbers are such that the ratio between them is 5:7

▪After adding 7 to each of them, the ratio becomes 3:4

$\orange{\bf{\underline{To\:Find:-}}}$

▪The two numbers

$\huge\pink{\bf{\underline{Solution:-}}}$

Let the constant be 'x'.

✦ According to the 1ˢᵗ condition,

$\bold\green{Two\:numbers\:are=5x\:and\:7x.}$

✦ According to the 2ⁿᵈ condition,

$\bold\green {5x + 7:7x + 7 = 3:4}$

$\\ 5x + 7:7x + 7 = 3:4 \\ ⟹ \frac{5x + 7}{7x + 7} = \frac{3}{4} \\ ⟹20x + 28 = 21x + 21 \: (cross \: multiply) \\ ⟹20x - 21x = 21 - 28 \\ ⟹ - x = - 7 \\ ⟹x= 7$

The Two Numbers are :-

❅ 5x = 5 × 7 = 35

❅ 7x = 7 × 7 = 49

$\blue{\bf{\boxed{Answer: 35 \: and \: 49.}}}$

$<marquee> ❤Hope it helps Uh!!!❤ </marquee>$