Question

the ratio of ages of shyam and nidhi 5years ago was 2:3 and the ratio of their present age after 5 years will
be 3:4 .find the sum of present age

​

Answer 1

Step-by-step explanation:

sumof their ages is equal to 60

Answer 2

Ratio of ages of shyam and nidhi 5 years ago was 2:3

The ratio of their present age after 5 years would be 3:4

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

☯ Let the present ages of Shyam be 3x and present age of Nidhi be 4x.

⠀

Ages after 5 years ago,

• Shyam's age = (3x - 5) years
• Nidhi's age = (4x - 5) years

⠀

${\underline{\sf{\bigstar\;Now\; According\;to\;question\;:}}}$

☯ Ratio of their ages 5 years ago was 2:3

⠀

Therefore,

⠀

$:\implies\sf \dfrac{3x - 5}{4x - 5} = \dfrac{2}{3}$

$:\implies\sf 3(3x - 5) = 2(4x - 5)$

$:\implies\sf 9x - 15 = 8x - 10$

$:\implies\sf 9x - 8x = - 10 + 15$

$:\implies{\underline{\boxed{\sf{x = 5}}}}\;\bigstar$

Therefore,

⠀

• The present age of Shyam is, 3x = 3 × x = 15 years

• The present age of Nidhi is, 4x = 20 years

⠀

$\therefore\;{\underline{\sf{Hence,\;the\;sum\;of\;their\; present\;age\;is,\;(15 + 20) = \bf{35\;years}.}}}$