Question

pls give me answer fast its urgent​

Answer 1

$\large{{ \bold{ \underline{Question.1 \: \: }}}}$

The present Age of Rohit and Mayank are in the Ratio 11:8.8 years later the sum of their ages will be 54 years. what are their present ages ?

$\large{ \bold{ \underline{Given: - }}}$

• Ratio ages of Rohit nad Mayank 11:8

$\large{ \bold{ \underline{To \: Find : - }}}$

• Their present ages .

$\large{ \bold { \underline{Solution : - }}}$

$: \implies$ Let, Rohit's present age = 11 x

$: \implies$ Mayank's present age = 8x

8 years later,

$: \implies$ Rohit's age = 11x + 8

$: \implies$ Mayank's age = 8x + 8

$\therefore$ 11x + 8 + 8x +8 = 54

$: \implies$19x + 16 = 54

$: \implies$ 19x = 38

$: \implies$x = 2

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large\bold{ \blue{ :\implies}}$ Rohit's age = 11 × 2 = 22 years

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large{ \bold{ \blue{ :\implies}}}$ Mayank's age = 8 × 2 = 16 years

$\: \: \: \: \: \: \large{ \boxed{ \mathfrak{ \red{Answer :- \ present \: ages \: are \: 22 \: and \: 16 years.}}}}$

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$\large \bold{ \color{black}{ \underline{Question.2 \: \: }}}$

A father's age is 3 times the sum of ages of his two sons. 5 years later he will be twice the sum of ages of his two sons. Find the present age of the father.

$\large{ \bold{ \underline{ \color{black}{Given : - }}}}$

• Relation of ages between son and father.

$\large{ \bold{ \underline{ \color{black}{To \: Find : - }}}}$

• Present age of father

$\large{ \bold{ \underline{ \color{black}{Solution : - }}}}$

$\: \: \: \: \: \: : \implies$ let the age of two sons = x

According to the question

$\: \: \: \: \: \: : \implies$ Father's age = 3 × x

After 5 years,

$\: \: \: \: \: \: : \implies$ two son = x + 5

$\: \: \: \: \: \: : \implies$ father's age = 3x +5

According to the question

$\: \: \: \: \: \: \: \: \: \: : \implies \sf(3x + 5) = (x + 5) \times 2 \\ \\ \: \: \: \: \: \: \: \: \: : \implies \sf3x + 5 = 2x + 10 \\ \\ \: \: \: \: \: \: : \implies \sf \: x \: = 5$

Age of father = 3 × 5

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sf \: 15 \: years$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large{ \boxed{ \mathfrak{ \pink{Hence, \: the \: age \: of \: father \: is \: 15 \: years.}}}}$

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