Question

37) The ages of Anitha and Sumitha are 10 years and 12 years respectively. In
how many years time will the product of their ages will be 224
Answer
I need the answer

Answer 1

Answer:

answer

Step-by-step explanation:

now subtract 12

50_ hr

Answer 2

Answer:

After 4 years the product of the ages will 224          

Step-by-step explanation:

Given data

The ages of Anitha and Sumitha are 10 and 12 years respectively

here we need to find in how many years the product of their ages will be 224  

let's assume that after x years the product of the ages is 224

after x years ages are Anitha age  =  10 + x  years

                                    Sumitha age = 12 + x years

product of the ages = (10 + x)(12+ x) = 224

                 ⇒ 120 + 10x + 12x + x² = 224

                 ⇒  22x + x² = 224 -120

                 ⇒ x ( 22 +x ) = 104 _ (1)

now find out for which value of x will satisfy (1)

for x = 4 ⇒ (1) ⇒ 4 ( 22 +4) = 104

                      ⇒ 4 (26) =104  

⇒  x = 4

⇒ therefore after 4 years the product of the ages will 224