Question

the difference between of two numbers is 15 and their ratio is 3:2 . find the number​

Answer 1

Step-by-step explanation:

let 3x and2x

difference of two no. is 15

3x-2x=25

X=25

3x=3*25=75

2x=2*25=50

Answer 2

Given :-

• We have been given that ratio of two numbers is 3:2
• Difference of the given two numbers is 15

To Find :-

• We have to find the given numbers

How to Solve :-

• Write the two given numbers in form of an unknown variable x
• Apply the given conditions in the Question and form Equations
• Simplify the equation so formed , and find the value of variable
• Put the value of variable in the numbers

____________________

Solution :-

Since , we have been given that ratio of two given numbers is 3:2

● Let the first number = 3x

● Second number = 2x

According to the Question

Difference of both the numbers is 15

$\longrightarrow \boxed{\sf{Difference \: of \: Numbers = 15}}$

$\longrightarrow \sf{3x - 2x = 15}$

$\longrightarrow \underline{\boxed{\sf{x = 15}}}$

Hence, value of x comes out 15

Putting value of x in assumed numbers

First number $\sf{= 3x = 3 \times 15 = 45}$

Second number $\sf{= 2x = 2 \times 15 = 30}$

Hence, two numbers are 45 and 30

$\underline{\boxed{\sf{\blue{First \: Number = 45}}}}$

$\underline{\boxed{\sf{\blue{Second \: Number = 30}}}}$

Verification :-

$\sf{● \: Ratio = \dfrac{45}{30} = \dfrac{3}{2}}$

Ratio of two numbers comes out 3:2

$\sf{● \: Difference = 45 - 30= 15}$

Difference of two numbers is 15

$\large{\boxed{\gray{\bf{Hence \: Verified}}}} \: \: \: ✓$