Q1 of 59 Page 63

Using the property , fill in the blanks substituting proper numbers in the following.

(i)


(ii)

(i) Let


on comparing first two equalities, we get:


5/7 = x/28


Cross multiply and get:


7x = 28 × 5


x = 4 × 5 = 20


Now, compare the first and third equalities and get:


5/7 = 35/y


Cross multiply and get:


5y = 7 × 35


y = 7 × 7 = 49


Now, compare the first and fourth equalities and get:


5/7 = z/3.5


Cross multiply and get:


7z = 5 × 3.5


7z = 5 × (35/10)


z = 5 × (5/10)


z = 25/10 = 2.5



(ii) Let


On comparing first two equalities, we get:


9/14 = 4.5/x


Cross multiply and get:


9x = 14 × 4.5


x = 14 × 0.5 = 7


Now, compare the first and third equalities and get:


9/14 = y/42


Cross multiply and get:


14y = 9 × 42


y = 9 × 3 = 27


Now, compare the first and fourth equalities and get:


9/14 = z/3.5


Cross multiply and get:


14z = 9 × 3.5


z = 9 × (3.5/14)


z = 9 × (0.25)


z = 2.25



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