Question

Two numbers are in the ratio 5 : 7. If they differ by 8, then the smallest number is


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Answer 1

Answer:

The Numbers are 20 and 28.

Step-by-step explanation:

Given :

Ratio of the numbers = 5 : 7

Difference between the numbers = 8

To find :

The smaller number

Solution :

Let the numbers be :

• One as 5x
• Second as 7x

$\sf{\Longrightarrow} \: 7x - 5x = 8 \\ \\ \sf{\Longrightarrow} \: 2x = 8 \\ \\ \sf{\Longrightarrow} \: x = \dfrac{8}{2} \\ \\ \sf{\Longrightarrow} \: x = 4$

★ Value of 5x

$\sf{\Longrightarrow} \: 5(4) \\ \\ \sf{\Longrightarrow} \: 20$

Second Number = 20

$\rule{300}{1.5}$

★ Value of 7x

$\sf{\Longrightarrow} \: 7(4) \\ \\ \sf{\Longrightarrow} \: 28$

Second Number = 28

$\therefore$ The Numbers are 20 and 28.

Answer 2

Step-by-step explanation:

x=8+y

y=-28

then

x=8+(-28)

x=20