two numbers are in the ratio of 7:9.the larger number is 54.find the smaller number.

13 answers

since 54 = 9*6,

7:9 = 7*6:9*6 = 42:54
S = smaller number.

L = larger number = 54

S / L = 7 / 9

S / 54 = 7 / 9

Cross multiply:

9 βˆ™ S = 54 βˆ™ 7

9 S = 378

Divide both sides by 9

S = 378 / 9

S = 42

Proof:

42 / 54 = 6 βˆ™ 7 / 6 βˆ™9 = 7 / 9
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It was helpful
7/9
Two numbers are in the ratio of 7:9 the larger number is 54 find the smaller number
Let's assume the smaller number as x.

According to the given condition, the ratio of two numbers is 7:9.

Hence, x/54 = 7/9

Cross multiplying the equation, we get:

9x = 54 * 7

Solving the above equation, we get:

x = 378/9 = 42

Hence, the smaller number is 42.
42
X/ 54equal 7/9 9x equal 54*7 x 378/9 equal 42 the smaller number is 42