Question

The ratio of the ages of two persons is 5 : 9
and the age of one of them is greater than the
other by 40 years. The sum of their ages, in
6
years, is
(A) 140
(C) 180
(B) 160
(D) 150​

Answer 1

$\underline{\boxed{\bold\red{Question}}}$

The ratio of the ages of two persons is 5 : 9 and the age of one of them is greater than the other by 40 years. The sum of their ages, in 6 years, is

(A) 140

(C) 180

(B) 160

(D) 150

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$\underline{\boxed{\bold\blue{Answer}}}$

$\huge\green{140}$

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$\underline{\boxed{\bold\orange{Explanation}}}$

⋆Age of 1st person= 5x years

⋆Age of 2nd person =9x years

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According to question:

⇝9x-5x=40

⇝4x=40

⇝=10

∴ sum of their ages

⇝5x+9x

⇝14x

⇝14×10

⇝140 years

Hence , option A is correct

[Hope this helps you.../]