Question

The ages of Jian and Parag are in the ratio 5: 7. Four years later the sum their ages will be 56 years. Find their present ages.​

Answer 1

⇝ Given :-

• The ages of Jian and Parag are in the ratio 5 : 7

• Four years later the sum their ages will be 56

⇝ To Find :-

• Their Present Ages.

⇝ Solution :-

As the ages of Jian and Parag are in ratio 5 : 7

Therefore Let,

• Present Age of Jian = $\rm5x$ years

• Present Age of Parag = $\rm7x$ years

❒ Four Years Later :

• Age of Jian = $\rm(5x+4)$ years

• Age of Parag = $\rm(7x+4)$ years

⏩ According To Question :

$\red{\text{Age of Jian + Age of Parag = 56} }$

$:\longmapsto \rm( 5x + 4) + (7x + 4) = 56$

$:\longmapsto \rm 12x + 8 = 56$

$:\longmapsto \rm 12x = 56 - 8$

$:\longmapsto \rm 12x = 48$

$:\longmapsto \rm x= \cancel \frac{48}{12}$

$\purple{ \Large :\longmapsto  \underline {\boxed{{\bf x = 4} }}}$

Hence,

Present Age of Jian = $\rm5x$ = 20 years

Present Age of Parag = $\rm7x$ = 28 years

Therefore,

$\pink{\begin{cases} \bf Jian's\:Present\:Age = 20 \:years \\  \\  \bf Parag's\:Present\:Age = 28 \: years\end{cases}}$

Answer 2

Answer:

Question :-

• The ages of Jian and Parag are in the ratio 5:7 .Four years later the sum of their ages will be 56 years.Find their present ages.

Answer :-

Present age of Jian

• $5x = 5 \times 4 = 20 \: years$

Present age of Parag

• $7x = 7 \times 4 = 28years$

Given :-

• The ages of Jian and Parag are in the ratio of 5:7.Four years later their sum of ages will be 56 years.

To find :-

• Find their present ages.

Explanation :-

• Lets take ,

• Age of Jian=5x years.
• Age of Parag be=7x years.

According to the given question we can refer that ,

□《Four years later》

• The ages becomes,

• Age of Jian=(5x+4)years.
• Age of Parag=(7x+4) years.

From the question,

• $Age \: of \: Jian + age \: of \: Parag = 56$

• $(5x + 4) + (7x + 4) = 56$

• $12x + 8 = 56$
• $12x = 56 - 8$
• $12x = 48$
• $x = \frac{48}{12} = 4$

• Here the value of x is 4.

Therefore ,

• The present ages of Jian=5x=5×4=20 years.
• The present ages of Parag=7x=7×4=28 years.

Hope it helps u mate .

Thank you .