Question

If(m+3):(m+11)=(m-2):(m+1),then find the value of m​

Answer 1

Step-by-step explanation:

LIFE-HACK FORMULA:

X:Y = W:Z

=> X/Y = W/Z

=> XZ = WY

Now,

(m+3) : (m+11) = (m-2):(m+1)

=> (m+3)(m+1) = (m-2)(m+11)

=> m² + m + 3m + 3 = m² + 11m - 2m - 22

=> m² + m + 3m + 3 = m² + 11m - 2m - 22=> 4m + 3 = 9m - 22 [ m² got cancelled]

=> 9m - 4m = 3 + 22

=> 5m = 25

=> m = 5

The value of m is 5.

Hope this helps you.