Question

The distance between the two numbers is 48.The ratio of two numbers 7:3. What are two numbers
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Answer 1

Answer:

answer is 84 and 36

Step-by-step explanation:

let the no. be = x

let the 1st no. be =7x

let the 2nd no. be =3x

difference of these no. = 48

A.T.Q.

7x-3x=48

4x=48

x=48/4

x=12

1st no. = 7x=7*12=84

2nd no. =3x=3*12=36

Hope it will help you!!

Answer 2

Correct Question:

• The difference between the two numbers is 48 if the ratio of two numbers is 7:3. What are the two numbers

$\huge\mathfrak\blue{Answer:}$

Given:

• We have been given two numbers whose difference is 48
• Numbers are in ratio 7:3

To Find:

• We have to find both the numbers

Solution:

Let greater number = x

Smaller number = y

$\odot \:$ According to first condition :

Difference of numbers is 48

$\implies \sf{x - y = 48}$

$\implies \boxed{\sf{x = 48 + y}}$ ------------------(1)

$\sf{ }$

$\odot \:$ According to second condition :

Numbers are in Ratio 7:3

$\implies \boxed{\bold{\dfrac{\text{Greater Number}}{\text{Smaller Number}} = \sf{\dfrac{7}{3}}}}$

$\implies \sf{\dfrac{x}{y} = \dfrac{7}{3} }$

Putting value of x from Equation (1)

$\implies \sf{\dfrac{y+48}{y} = \dfrac{7}{3} }$

$\implies \sf{3 \: (y+48) = 7y }$

$\implies \sf{3y+ 144 = 7y }$

$\implies \sf{4y = 144 }$

$\implies \sf{y = \dfrac{144}{4}}$

$\implies \boxed{\sf{y = 36}}$

$\sf{ }$

Putting y = 36 in Equation (1)

$\implies \sf{ x = 48 + 36}$

$\implies \boxed{\sf{ x = 84 }}$

Hence Numbers are 36 and 84

_________________________________

$\huge\underline{\sf{\red{A}\orange{n}\green{s}\pink{w}\blue{e}\purple{r}}}$

• Greater number = 84
• Smaller number = 36

_________________________________

$\huge\mathtt\green{Verification:}$

☞ Difference of two number is 48

$\mapsto \sf{Difference = 84 - 36}$

$\mapsto \boxed{\sf{Difference = 48}}$

☞ Numbers are in Ratio 7:3

$\mapsto \sf{Ratio = \dfrac{84}{36}}$

$\mapsto \boxed{\sf{Ratio = \dfrac{7}{3}}}$

$\large\red{\underline{\underline{\sf{Hence \: Verified \: !!!}}}}$