Question

If the ratio of the ages of son and father in 2014 and 2022 are 1:4 and 3:8 respectively, then the sum of the ages of son and father in 2010 is. ​

Answer 1

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Answer 2

Answer:

The sum of the ages of son and father in 2010 is 40 years

Step-by-step explanation:

The ratio of the ages of son and father in 2014 is 1:4

Let the Ratio be x

Father's Age in 2014 = 4x

Son's age in 2014 = x

Ages in 2022 i.e. After 8 years

Father's Age in 2022 = 4x+8

Son's age in 2022 = x+8

We are given that the ratio of the ages of son and father in 2022 is 3:8 .

So, $\frac{x+8}{4x+8}=\frac{3}{8}$

$8x+64=12x+24$

$40=4x$

$x=10$

Father's Age in 2014 = 4x = 4(10)=40

Son's age in 2014 = x =10

Ages in 2010 i.e. 4 years ago

Father's Age in 2010 =40 -4 = 36 years

Son's age in 2010 = 10 - 4 = 6 years.

The sum of the ages of son and father in 2010 = 36+4=40 years

Hence the sum of the ages of son and father in 2010 is 40 years