Question

The ratio of present ages of Adam and Gerry is 5:6. After 7 years this ratio will become 6:7.
What is the present age of Adam?​

Answer 1

Answer:

let the present age of adam =5x

let the present age of gerry =6x

after 7years

adam age will be 5x +7= 6x

solving the equation 7=6x-5x

7=x

putting the value of x in adams present age

5x=5X7

=35 years

Explanation:

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Answer 2

Given,

Let consider the age of Adam and Gerry as 'x' and 'y' respectively

the present ratio of ages is

$\frac{x}{y} = \frac{5}{6} \\ \\6x = 5y\\ \\y= \frac{6x}{5} ---- > (1)$

Ratio of ages after $7$ years is

$\frac{x+7}{y+7}=\frac{6}{7} \\\\7x+49 = 6y+42\\7x-6y+7=0 ----- > (2)$

by substituting equation $(1)$ in $(2)$ we get

$7x-6[\frac{6x}{5}]+7 =0\\35x-36x+35=0\\ -x = -35\\x= 35$

∴Present age of Adam is $x = 35years$

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