10. Divide 7 2060 between three people X, Y and Z such that gets three-tilths of what yord
ratio of the share of Y to Z is 6 11. step by step solution
Answers
Step-by-step explanation:
Given x = 3y/5
Y:Z = 6:11
So let Y get 6a
and z = 11a
So x share = 3/5 × 6a
= 18a/5
And y share = 6a
z share = 11a
Now total sum is 2060
That means
\begin{gathered} \frac{18a}{5} + 11a + 6a = 2060 \\ = > \frac{18a + 55a + 30a}{5} = 2060 \\ = > \frac{103a}{5} = 2060 \\ a = 2060 \times \frac{5}{103} \\ a = 20 \times 5 \\ a = 100\end{gathered}
5
18a
+11a+6a=2060
=>
5
18a+55a+30a
=2060
=>
5
103a
=2060
a=2060×
103
5
a=20×5
a=100
Now we have a = 100
So 6a = 6 × 100 = ₹600
11a = 11 × 100 = ₹1100
Now X share = 3/5 of Y
= 3/5 × 600
= ₹360
So X share = ₹360
Y share = ₹600
Z share = ₹1100
Hope it helps dear friend ☺️✌️✌️
ratio of y and z is 6:11
so y and z are 6p and 11p
respectively
x =3/5 × 6p=18/5 p
so
x+y+z=2060
18/5p+ 6p+ 11p =₹2060
18/5p+17 p= 2060
103/5 p= 2060
p= 2060 × 5/103
p= 20 × 5
p=100₹
y = 6p
=600
z= 11p
=1100
x= 18/5p
= 360₹
so x=360₹
y=600₹
z=1100₹
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