Question

the ratio of ages of tejas and shreya is 2:5 after 6 years sum of their ages will be 54 find their present age​

Answer 1

Answer:

12 and 30

Step-by-step explanation:

check the photo for clear explanation

Answer 2

Given :

• Ratio of Ages of Tejas and Shreya is 2:5.
• After 6 years sum of their ages will be 54.

To Find :

• Present Age of Tejas and Shreya.

Solution :

$\longmapsto\tt{Let\:Present\:Age\:of\:Tejas=2x}$

$\longmapsto\tt{Let\:Present\:Age\:of\:Shreya=5x}$

After 6 years :

$\longmapsto\tt{Age\:of\:Tejas=2x+6}$

$\longmapsto\tt{Age\:of\:Shreya=5x+6}$

A.T.Q :

$\longmapsto\tt{2x+6+5x+6=54}$

$\longmapsto\tt{7x+12=54}$

$\longmapsto\tt{7x=54-12}$

$\longmapsto\tt{7x=42}$

$\longmapsto\tt{x=\cancel\dfrac{42}{7}}$

$\longmapsto\tt\bold{x=6}$

Value of x is 6..

Therefore :

$\longmapsto\tt{Present\:Age\:of\:Tejas=2(6)}$

$\longmapsto\tt\bold{12\:yrs}$

$\longmapsto\tt{Present\:Age\:of\:Shreya=5(6)}$

$\longmapsto\tt\bf{30\:yrs}$