Three times the larger number of two numbers is equal to four times the smaller. the sum of the numbers is 21. find the numbers

Question

Mathematics

Shiloh Stevens

23 December, 07:17

Three times the larger number of two numbers is equal to four times the smaller. the sum of the numbers is 21. find the numbers

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Answers (1)

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Viviana Huffman · Answer 1

X=larger number

y=smaller number

3x = 4y

x+y=21

3x=4y

3x:3 = 4y:3

x = 4/3y

x+y=21

4/3y+y=21

1 4/3y=21

1 4/3y : 1 4/3=21 : 1 4/3

y = 9

x + y = 21

x + 9 = 21

x + 9 - 9 = 21-9

x = 12

Check

3x = 4y

3 (12) = 4 (9)

36=36