Question

An unchanging relation is given by the following star

If using the same unchanging relation, new star is made as shown , then the value of a & b is equal to

• A. 6, 12
• B. 8, 4
• C. 10, 8
• D. 4, 6

Answer 1

The correct option is A

6, 12

We can observe the given unchanging relation is

8 + 5 = 13 (up)

8 - 5 = 3 (down)

Using the same we get

a + b = 15

a - b = 9

adding we get

(a + b) + (a - b) = 15 + 9

2a = 24 [$\because x+(y+z)=x+y+z$]

a = 12

subtracting we get

(a + b) - (a - b) = 15 - 9

a + b - a + b [x - (y - z) = x - y + z]

2b = 6

b = 6