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anyanavicka [17]
3 years ago
7

Lisa is now six years older than Cheryl. In two years, Lisa will be twice as old as Cheryl. How old is Lisa now?

Mathematics
1 answer:
Elena-2011 [213]3 years ago
4 0
--------------------------------------------------
Define x :
--------------------------------------------------
Let Cheryl be x years old.
Cheryl = x
Lisa = x + 6

--------------------------------------------------
In two years time:
--------------------------------------------------
Cheryl = x + 2
Lisa = x + 8

--------------------------------------------------
Lisa will be twice as old as Cheryl :
--------------------------------------------------
x + 8 = 2(x + 2)

--------------------------------------------------
Solve x :
--------------------------------------------------
x + 8 = 2(x + 2)
x + 8 = 2x + 4
x = 4

--------------------------------------------------
Find their age :
--------------------------------------------------
Cheryl = x = 4
Lisa = x + 6 = 4 + 6 = 10

--------------------------------------------------
Answer: Lisa is 10 years old now.
--------------------------------------------------
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1. A pair of supplementary angles: ∠IJH and ∠HJG, ∠IJH and ∠HJG

2. A pair of complementary angles: ∠JGK and ∠KGC, ∠FGE and ∠EGD

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<em>Two angles are said to be supplementary when they add up to 180°.</em>

We know that,

Sum of the adjacent angles in a straight line = 180°

∠IJK + ∠KJG = 180°

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Therefore ∠IJH and ∠HJG are supplementary angles.

<em>Two angles are said to be complementary when they add up to 90°.</em>

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∠FGE + ∠EGD = 90°

Therefore ∠FGE and ∠EGD are complementary angles.

<em>If two lines are intersecting, then the angles opposite to vertical point are vertical angles and they are equal.</em>

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