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شائع Word Problems >

the difference between two numbers is 22. the sum of 6 times the larger and 7 times the smaller is 137. What are the numbers

الحلّ

t h e d i ff ere n ce b e tw ee n tw o n u mb ers i s 22. t h e s u m o f 6 t im es t h e l a r g er an d 7 t im es t h e s ma ll er i s 137. Wha t a re t h e n u mb ers

الحلّ

The numbers : 22 \frac{5}{13}, \frac{5}{13}

خطوات الحلّ

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = 22

6 x + 7 y = 137

x - y = 22, 6 x + 7 y = 137 : x = \frac{291}{13}, y = \frac{5}{13}

حوّل من كسر تخيّليّ لعدد مختلط:

\frac{291}{13} = 22 \frac{5}{13}

The numbers : 22 \frac{5}{13}, \frac{5}{13}

أمثلة شائعة

after an 18% discount, an item is \$135.30. what is the original price?One number is six more than a second number. Thrice the first is 6 less than 4 times the second. Find the numbers. Let x represent one number and y represent the second number. Translate the first fact into an equation. Fill in the blanks.25 time a number A circle has a circumference of 2 yards. What is the circle's radius? use 3.14 to find the radius 7 more than a number exceeds 12