Question

The ratio of the age of two sisters is 3:4.the product of their ages is 192. The ratio of their ages after 5 years will be

Answer 1

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Answer 2

Answer:

The ratio after 5 yrs is 17:21

Step-by-step explanation:

Given the ratio of the age of two sisters is 3:4. The product of their ages is 192.

we have to find the ratio of their ages after 5 years.

Let the ages of two sisters are 3x and 4x

As given the product of their ages is 192

$3x\times 4x=192$

$12x^2=192$

$x^2=\frac{192}{12}=16$

$x=4$

Hence, their ages are 12 yrs and 16 yrs

Now we have to find the ages after 5 yrs

After 5 yrs their ages are

$3x+5=3(4)+5=12+5=17$

$4x+5=4(4)+5=16+5=21$

Hence, the ratio of their ages are 17:21