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Popular >

One number is thrice more than four times another. If the sum of the numbers is 18, what are the numbers?

Solution

One number is thrice more than four times another. If the sum of the numbers is 18, what are the numbers?

Solution

The numbers : 16 \frac{8}{13}, 1 \frac{5}{13}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 3 \cdot 4 y

x + y = 18

x = 3 \cdot 4 y, x + y = 18 : x = \frac{216}{13}, y = \frac{18}{13}

Convert improper fractions to mixed numbers:

\frac{216}{13} = 16 \frac{8}{13}

Convert improper fractions to mixed numbers:

\frac{18}{13} = 1 \frac{5}{13}

The numbers : 16 \frac{8}{13}, 1 \frac{5}{13}

Popular Examples

one fourth of a number decreased by 10 is-50. find the number 7 times a number is equal to 12 less than 3 times the number. Find the number.One number is five times the other. Their sum is 48. What are the numbers?four times a number, increased by 36, is the same as 32 decreased by twice the number. Find the number Three-fourth of a number is more than one-fourth of a number by 2. Find the number.