Question

shashi and rishi ages are in the ratio 5:7 4 years later the sum of their ages will be 56 what are their present ages

Answer 1

Given :-

• Let Shashi's age be 5x.
• And Rishi's age be 7x.

Four years later :-

• Shashi's age be 5x + 4.
• Rishi's age be 7x + 4

According to the question,

$\implies \sf{5x + 4 + 7x + 4 = 56} \\ \implies \sf{12x + 8 = 56} \\ \implies \sf{12x = 56 - 8} \\ \implies \sf{12x = 48} \\ \implies \sf{x = \frac{48}{12} } \\ \therefore{\purple {\boxed {\bold {x = 4}}}}$

$\rule{200}2$

• Age of Shashi is 5x = 5 × 4 = 20 years.
• Age of Rishi is 7x = 7 × 4 = 28 years.

$\rule{200}2$

${\red {\boxed {\large \sf{verification}}}} \\ \sf\implies{5x + 4 + 7x + 4 = 56} \\ \implies \sf{5 \times 4 + 4 + 7 \times 4 + 4 = 56} \\ \implies \sf{20 + 4 + 28 + 4 = 56} \\ \implies \sf{24 + 32 = 56} \\ \implies \sf{56 = 56} \\ \therefore\sf \purple{L.H.S = \: \: R.H.S } \\ \sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: hence ,verified}$