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poizon [28]
3 years ago
14

David is twice as old as rick. The sum of Ricks age and davids age is 81. How old is Rick?

Mathematics
2 answers:
VLD [36.1K]3 years ago
6 0
Rick is 27 years old. Pretend D is David and R is Rick

D+R=81

D=2R

2R+R=81  ---> 3R=81 ---> 81/3=R   R=27   3(27)=81 TRY IT!
allsm [11]3 years ago
3 0
The answer is 40.5 hoped I helped
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Can someone help me with this
insens350 [35]
Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

We will be using simultaneous equations to solve this problem.

The sum of angles on a straight line is 180°.

( R ) and ( 2x + 5 ) are both on the same straight line.

Therefore:

Equation No. 1 -

R + 2x + 5 = 180

R = 180 - 2x - 5

R = 175 - 2x

Vertically opposite angles are equivalent to each other.

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Therefore:

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R = 3x + 15

Substitute the value of ( R ) from the first equation into the second equation to solve for ( x )

R = 3x + 15

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x = - 160 / - 5

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Next we will substitute the value of ( x ) from the second equation into the first equation to solve for ( R ).

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R = 175 - 2 ( 32 )

R = 175 - 64

R = 111

FINAL ANSWER:

Therefore, the answer is:

R = 111

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Hope this helps! :)
Have a lovely day! <3
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