steve is 6 years younger than twice Rebecca’s age. If the sum of Steve and Rebecca’s age is 30, how old is Steve and how old is Rebecca

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Mathematics Thu Nguyệt 4 years 2021-07-21T18:46:03+00:00 2021-07-21T18:46:03+00:00 1 Answers 9 views 0

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Captcha* Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )

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taiduc · Answer 1 · 2021-07-21T18:47:28+00:00

Firstly , Let Rebecca age be R and Steve age be S

Steve is 6 years younger than twice Rebecca age

Since steve is younger, then we will be using subtraction as the order of operation

Since Rebecca age is twice

Then, R x 2

=2R

Steve is 6 years younger than twice of Rebecca age

Mathematically ,

$S=-2R - 6$ —————- equation 1

the sum of Steven and Rebecca age is 30

$R+S =30$ —————— equation 2

Solve equation 1 and equation 2 simultaneously

$S=2R-6\\S+R=30$

Substitute $S=2R-6$ into equation 2

$2R-6+R=30$

Collect like terms

$2R+R=30-6$

$3R=36$

Divide both sides by R

$\frac{3R}{3} =\frac{36}{3\\} \\R=12$

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