Question

➡️The sum of two numbers is 43. If the larger is doubled and the smaller is tripled, the difference is 36. Find the two numbers.​

Answer 1

UR ANSWER ⤵

[tex]\texbf{Let the no. be X and Y

now }[/tex]

[tex]\texbf{X + Y = 43 ..eq 1 }[/tex]

[tex]\texbf{2X - 3Y = 36 ...eq 2 }[/tex]

[tex]\texbf{from eq 1 we get X = 43 -Y }[/tex]

[tex]\texbf{putting this value in eq 2 }[/tex]

[tex]\texbf{we get }[/tex]

[tex]\texbf{2(43-Y) -3Y = 36 }[/tex]

[tex]\texbf{86 - 2Y -3Y = 36 }[/tex]

[tex]\texbf{-5Y = 36-86 }[/tex]

[tex]\texbf{Y = 10 }[/tex]

[tex]\texbf{hence putting value of Y in eq 1 we get }[/tex]

[tex]\texbf{X = 43-10 }[/tex]

[tex]\texbf{X = 33 }[/tex]

[tex]\texbf{therefor two numbers are }[/tex]

[tex]\texbf{X = 33

[tex]\texbf{Y = 10 }[/tex]

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