The greater of two numbers is 1 more than twice the smaller. Three times the greater exceeds 5 times the smaller by 10. Find the numbers

Question

Mathematics

Jazmin Marks

16 July, 09:08

The greater of two numbers is 1 more than twice the smaller. Three times the greater exceeds 5 times the smaller by 10. Find the numbers

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Answers (1)

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Max Schaefer · Answer 1

X
y is 1 more than 2 times the smaler

y=1+2 times x

y=1+2x

3 times y is bigger than 5 times x by 10

3y=5x+10

subsitute

y=1+2x

3 (1+2x) = 5x+10

3+6x=5x+10

subtract 3 from both sides

6x=5x+7

subtract 5x from both sides

x=7

subsitute

y=1+2x

y=1+2 (7)

y=1+14

y=15

x=7

y=15