en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

two numbers are in ratio 1:11 and their sum is 15. Find the numbers

Solution

two numbers are in ratio 1:11 and their sum is 15. Find the numbers

Solution

The numbers : 1 \frac{1}{4}, 13 \frac{3}{4}

Solution steps

Represent the numbers in ratio 1:11 with

x

x

11 x

Write an equation for the sum:

x + 11 x = 15

Solve for

x, x + 11 x = 15 : x = \frac{5}{4}

x = \frac{5}{4}

11 x = 11 \cdot \frac{5}{4} = \frac{55}{4}

Convert improper fractions to mixed numbers:

\frac{5}{4} = 1 \frac{1}{4}

Convert improper fractions to mixed numbers:

\frac{55}{4} = 13 \frac{3}{4}

The numbers : 1 \frac{1}{4}, 13 \frac{3}{4}

Popular Examples

solve You invest 100 in a CD with a 6% interest rate, compounded twice a year. How much will you have in40 years?"the product of-6 and a number"After 1 year the father age will be 4 times the age of his son. After 5 years the father age will be three times the age of his son. Find the age of the father and his son one more than the difference between a number and nineteen is three late the sentence into an equation.Two times the sum of a number and 7 is 8.