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A number is 11 more than three times another number. Their sum is 4. What is the larger number?Use the exact value if a decimal is involved.

Sagot :

Given:

A number is 11, more than three times another number.

Let, larger number be x, and the smaller be y.

[tex]x=11+3y\ldots\ldots\text{.}(1)[/tex]

The sum of two numbers is 4

[tex]x+y=4\ldots\ldots\text{.}(2)[/tex]

Solve the two equations,

[tex]\begin{gathered} \text{Put the values of x from equation (1) in (2)} \\ x+y=4 \\ 11+3y+y=4 \\ 11+4y=4 \\ 4y=4-11 \\ 4y=-7 \\ y=-\frac{7}{4} \end{gathered}[/tex]

Now,

[tex]\begin{gathered} x=11+3y \\ x=11+3(-\frac{7}{4}) \\ x=11-\frac{21}{4} \\ x=\frac{23}{4} \end{gathered}[/tex]

Answer: The larger number is x=23/4.

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