Answer:

3x-x= 40

2x=40

x=40/2

x=20 and 3x=20×3 =60

Verified answer

Given :

• The Difference between two numbers is 40 .
• The ratio of these two numbers is 1:3 .

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To Find :

• Find the Integers

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SolutioN :

[tex] \dag [/tex] Lett the Ratios :

• 1st Integer = 1y
• 2nd Integer = 3y

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[tex] \dag [/tex] Calculating the Value of y :

[tex] {\longmapsto{\qquad{\sf{ \bigg\{ 2nd \; Integer \bigg\} - \bigg\{ 1st \; Integer \bigg\} = 40 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 3y - 1y = 40 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 2y = 40 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ y = \dfrac{40}{2} }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ y = \cancel\dfrac{40}{2} }}}} \\ \\ \\ \ {\qquad \; \; {\longmapsto \; {\pmb{\underline{\boxed{\purple{\frak{ y = 20 }}}}}}}} [/tex]

[tex] \\ \\ [/tex]

[tex] \dag [/tex] Calculating the Integers :

• 1st Integer = 1y = 1(20) = 20
• 2nd Integer = 3y = 3(20) = 60

[tex] \\ \\ [/tex]

[tex] \therefore \; [/tex] The two Integers are 60 and 20 .

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