Question

ages of ramu and ravi are in ratio 4:7 four years later the sum of the ages will be 63 years what are thier present age​

Answer 1

Step-by-step explanation:

let present age of Ramu is 4x

present age of Ravi is 7x

after 4 years

Ramu age be 4x+4

Ravi age be 7x+4

4x+4 + 7x+4 = 63

11x + 8 = 63

11x = 63-8

11x = 55

x = 55/11

x = 5

present age of Ramu 4x = 4×5 = 20

present age of Ravi 7x = 7×5 = 35

Answer 2

$\sf\underline{\red{\:\:\: Answer:-\:\:\:}}$

$\bullet \:\textsf{The present age of Ramu = \textbf{20 years} }\\ \bullet \: \textsf{ The present age of Ravi = \textbf{35 years}}$

$\sf\underline{\red{\:\:\: Given:-\:\:\:}}$

• Ages of ramu and ravi are in ratio 4:7 four years later the sum of the ages will be 63 years.

$\sf\underline{\red{\:\:\: \: \: To\: Find:-\:\:\:}}$

$\star\:\textsf{The present age of Ramu = ?} \\\star\:\textsf{The present age of Ravi = ?}$

$\sf\underline{\red{\:\:\: \:\:Solution: - \:\:}}$

• Let the present age of ramu be 4x, and the present age of ravi be 7x

$\sf\underline{\pink{\:\:\: After \: 4 \: years :-\:\:\:}}$

$\bullet \:\textsf{The present age of Ramu = \textbf{(4x + 4)} }\\ \bullet \: \textsf{ The present age of Ravi = \textbf{(7x + 4)}}$

$\sf\bigstar\:\underline{\purple{\:\:\: According \: to \: the \: given \: Question :-\:\:\:}}$

$:\implies \sf 4x + 4 + 7x + 4 = 63$

$:\implies \sf 11x + 8= 63$

$:\implies \sf 11x = 63 - 8$

$:\implies \sf 11x = 55$

$:\implies \sf x = \dfrac{55}{11}$

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

☯$\underline{\boldsymbol{Present\: Age\:of\: Ramu\:\&\:Ravi:}}$

$\bullet \:\textsf{The present age of Ramu = 4x = 4(5) = \textbf{20 years} }\\ \bullet \: \textsf{ The present age of Ravi = 7x = 7(5) = \textbf{35 years}}$