The sum of two numbers is 70 and their difference is 6. Vid the
cross-multiplication method.
Answers
Answered by
2
Step-by-step explanation:
Let x and y are two number such that
x + y = 70 and x - y = 6
here we have two linear equations in two variables : x + y = 70 and x - y = 6
we have to solve cross multiplication method,
1.x + 1.y - 70 = 0
1.x + (-1).y - 6 = 0
now, \bf{\frac{x}{1.(-6)-(-1).(-70)}=\frac{-y}{1.(-6)-1(-70)}=\frac{1}{1.(-1)-1.1}}
1.(−6)−(−1).(−70)
x
=
1.(−6)−1(−70)
−y
=
1.(−1)−1.1
1
\bf{\frac{x}{-76}=\frac{-y}{64}=\frac{1}{-2}}
−76
x
=
64
−y
=
−2
1
x/-76 = 1/-2 => x = 76/2 = 38
hence, x = 38
similarly, -y/64 = /1-2 => y =64/2 = 32
hence, y = 32
therefore, two numbers are 38 and 32
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1
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