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Seema, Bina and Tahir, and Arshad are cousins. The ratio of Seema's age to Tahir's is the same as that of Bina's to Arshad's . Seema and Arshad are the same age and Bina is one fourth of Tahir. If Tahir's age is 32, find Seema's age.

Sagot :

Answer:  16 years old

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Explanation:

Tahir's age is 32, and Bina is one fourth of Tahir's age. That means Bina must be 8 years old because (1/4)*32 = 32/4 = 8.

Seema and Arshad are the same age, which is unknown for now. Let's call that unknown age x.

The ratio of Seema's age to Tahir's age is x:32 which we can write in the fraction form x/32.

The ratio of Bina's age to Arshad's age is 8:x or 8/x

We're told the two ratios are equivalent, so we'll set those fractions equal to one another and solve for x.

x/32 = 8/x

x*x = 32*8

x^2 = 256

x = sqrt(256)

x = 16

Seema and Arshad are both 16 years old.

Note that x:32 updates to 16:32, which then can be fully reduced to 1:2

The ratio 8:x updates to 8:16 and that reduces to 1:2 as well, which shows that 16:32 and 8:16 are equivalent ratios (the second part of the ratio is double that of the first part).