Math, asked by haziqrashid13, 3 months ago

The sum of ages of A, B, and C is 93 yr. Ten years ago, the ratio of their age was 2:3:4, Find the present age of A.?​

Answers

Answered by ImperialGladiator
12

Answer:

Present age of A is 24 years.

Step-by-step explanation:

Question says that,

The sum of the age of A, B, and C is 93 years.

Ten years ago the age of A, B, and C was 2 : 3 : 4.

Find the present age of A.

Suppose, ten years ago the age of :

  • A = 2x years.
  • B = 3x years.
  • C = 4x years.

Therefore, their present age will be :

  • A = (2x + 10) years.
  • B = (3x + 10) years.
  • C = (4x + 10) years.

Given :

{\implies (2x + 10) + (3x + 10) + (4x + 10)  = 93}

Solving for \boldsymbol x :

\implies 2x + 10 + 3x + 10 + 4x + 10 = 93

\implies  9x + 30 = 93 \\

\implies  9x = 93 - 30 \\

\implies  9x = 63 \\

\implies  x =  \frac{63}{9}  \\

\implies  x = 7 \\

{\therefore{ \underline{ \sf{The \: value \: of  \: \boldsymbol{x} \: is \: 7}}}} \\

Hence, the present age of A is :

  • (2x + 10) = \bf 24 \: years.
Answered by iTzShInNy
5

Topic:

Ratio and proportion

Question:

The sum of ages of A, B, and C is 93 years . Ten years ago, the ratio of their age was 2:3:4 . Find the present age of A ?

Given:

  • The sum of ages of A, B, and C is 93 years.

  • The ratio of their ages 10 years ago which was 2:3:4.

To Find:

  • The present age of A.

Solution:

Let x be their present age,

The ratio will be 2x : 3x : 4x

Now the ratio of the present age would be their ages ten years ago plus 10. So the ratio of their present age will be

2x + 10 : 3x + 10 : 4x + 10

We also know the sum of their present age which is 93 years . So according to the information we got,

➙ 2x + 10 + 3x + 10 + 4x + 10 ➞ 93

➙ 2x + 3x + 4x + 10 + 10 + 10 ➞ 93

➙ 9x + 30 ➞ 93

➙ 9x ➞ 93 - 30

➙ 9x ➞ 63

➙ x ➞ 63/9

➙ x ➞ 7

Thus, we got the value of the constant multiplying factor .

Now,

So , the age of A ten years back is

➞ 2x

➞ 2 × 7

➞ 14

The age of B ten years back is

➞ 3x

➞ 3 × 7

➞ 21

The age of C ten years back is

➞ 4x

➞ 4 × 7

➞ 28

The final results,

The present age of A is

➠ 14 + 10

➠ 24

The present age of B is

➠ 21 + 10

➠ 31

The present age of C is

➠ 28 + 10

➠ 38

Hence, we got the present age of A which is 24 .

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