Question

8. The ages of A and B are in the ratio 5:7. Four years later, the sum of their ages will be 56 years. What
are their present ages?​

Answer 1

Answer:

The ages of Rahul and Haroon are in the ratio 5:7

Let Rahul’s present age=5x

Haroon present age=7x

Four years later the sum of their ages will be 56 years. So according to the condition,

(5x+4)+(7x+4)=56

12x+8=56

12x=56–8

12x=48

x=48/12

x=4

Therefore Rahul’s present age =5*4=20years

Haroon’s present age=7*4=28years

pls Mark it Braillent friend and verified answer friend

Answer 2

❖ Given :

• Age of A and B are in the ratio of 5 : 7. After four years, the sum of their ages will be 56 years. We need to find the present ages of A and B .

❖ Solution :

• Let's assume the present age of A = 5x years.

• Let's assume the present age of B = 7x years.

✰ After Four years :

• Age of A = (5x + 4) years

• Age of B = (7x + 4) years

$\\ \\\underline{ \underline{ \mathfrak{ \pmb{ \: ✤ \: \: According \: \: to \: \: the \: \: Question : }}}}$

$\tt \: (5x + 4) + (7x + 4) = 56 \: \: \: \: \: \: \: \\ \\ \\ \tt : \implies \: 5x + 4 + 7x + 4 = 56 \\ \\ \\ \tt : \implies \: 12x + 8 = 56 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt : \implies \: 12x = 56 - 8 \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt : \implies \: 12x = 48 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt : \implies \: x = \frac{48}{12} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ : \implies \: { \underline{ \boxed{ \mathfrak{ \pmb{ \purple{x = 4}}}}}} \: \: \: \: \pink{\bigstar} \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\pmb{ \sf{✰ \: The \: present \: age \: of \: A \: }} = \tt{\: 5x \: \: years } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \tt {(5 × 4 ) \: years} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ={ \mathfrak{ \pmb { 20 \: \: years}}}$

$\pmb{ \sf{✰ \: The \: present \: age \: of \: B \: }} = \tt{\: 7x \: \: years } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \tt {(7 × 4 ) \: years} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ={ \pmb{ \mathfrak { 28 \: \: years}}}$